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100200101200212 = 2231312131613328283
BaseRepresentation
bin10110110010000110100111…
…011100000100000101010100
3111010210000222100000201101010
4112302012213130010011110
5101113134301401401322
6553035142505532220
730051134626240506
oct2662064734040524
9433700870021333
10100200101200212
1129a21695a09612
12b2a354b1a4070
1343baaa1408cb0
141aa59d4517d76
15b8b67ba8420c
hex5b21a7704154

100200101200212 has 96 divisors (see below), whose sum is σ = 252149435733888. Its totient is φ = 30786191414784.

The previous prime is 100200101200201. The next prime is 100200101200223. The reversal of 100200101200212 is 212002101002001.

It is an interprime number because it is at equal distance from previous prime (100200101200201) and next prime (100200101200223).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305060623 + ... + 305388905.

It is an arithmetic number, because the mean of its divisors is an integer number (2626556622228).

Almost surely, 2100200101200212 is an apocalyptic number.

100200101200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100200101200212 is an abundant number, since it is smaller than the sum of its proper divisors (151949334533676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100200101200212 is a wasteful number, since it uses less digits than its factorization.

100200101200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331129 (or 331127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200101200212 its reverse (212002101002001), we get a palindrome (312202202202213).

The spelling of 100200101200212 in words is "one hundred trillion, two hundred billion, one hundred one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1213 1613 2426 3226 3639 4839 4852 6452 7278 9678 14556 15769 19356 20969 31538 41938 47307 62907 63076 83876 94614 125814 189228 251628 328283 656566 984849 1313132 1956569 1969698 3913138 3939396 4267679 5869707 7826276 8535358 11739414 12803037 17070716 23478828 25435397 25606074 50870794 51212148 76306191 101741588 152612382 305224764 398207279 529520479 796414558 1059040958 1194621837 1588561437 1592829116 2118081916 2389243674 3177122874 4778487348 5176694627 6354245748 6883766227 10353389254 13767532454 15530083881 20651298681 20706778508 27535064908 31060167762 41302597362 62120335524 82605194724 642308341027 1284616682054 1926925023081 2569233364108 3853850046162 7707700092324 8350008433351 16700016866702 25050025300053 33400033733404 50100050600106 100200101200212