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100201022201020 = 225131920283607733
BaseRepresentation
bin10110110010000111011110…
…010101011001110010111100
3111010210010100112001101222011
4112302013132111121302330
5101113143143140413040
6553035414130101004
730051166511514166
oct2662073625316274
9433703315041864
10100201022201020
1129a22018885104
12b2a376771a764
1343babba1764a0
141aa5a8097d936
15b8b6d285d3ea
hex5b21de559cbc

100201022201020 has 48 divisors (see below), whose sum is σ = 238535226951840. Its totient is φ = 35050074160896.

The previous prime is 100201022201017. The next prime is 100201022201029. The reversal of 100201022201020 is 20102220102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201022201029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10141798927 + ... + 10141808806.

It is an arithmetic number, because the mean of its divisors is an integer number (4969483894830).

Almost surely, 2100201022201020 is an apocalyptic number.

100201022201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201022201020 is an abundant number, since it is smaller than the sum of its proper divisors (138334204750820).

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

100201022201020 is a wasteful number, since it uses less digits than its factorization.

100201022201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20283607774 (or 20283607772 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100201022201020 its reverse (20102220102001), we get a palindrome (120303242303021).

The spelling of 100201022201020 in words is "one hundred trillion, two hundred one billion, twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 20283607733 40567215466 81134430932 101418038665 202836077330 263686900529 385388546927 405672154660 527373801058 770777093854 1054747602116 1318434502645 1541554187708 1926942734635 2636869005290 3853885469270 5010051110051 5273738010580 7707770938540 10020102220102 20040204440204 25050255550255 50100511100510 100201022201020