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100212200201020 = 22529461374793179
BaseRepresentation
bin10110110010010001111000…
…100110000101101100111100
3111010211012012112102122022011
4112302101320212011230330
5101113334041222413040
6553044503233301004
730052043512115365
oct2662217046055474
9433735175378264
10100212200201020
1129a26834539a36
12b2a5967104764
1343bbc7bc2457b
141aa6421346b6c
15b8bb38d5d3ea
hex5b2478985b3c

100212200201020 has 48 divisors (see below), whose sum is σ = 218174605941600. Its totient is φ = 38618689061120.

The previous prime is 100212200200999. The next prime is 100212200201041. The reversal of 100212200201020 is 20102002212001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100212200200999) and next prime (100212200201041).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187129210 + ... + 187663969.

It is an arithmetic number, because the mean of its divisors is an integer number (4545304290450).

Almost surely, 2100212200201020 is an apocalyptic number.

100212200201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212200201020 is an abundant number, since it is smaller than the sum of its proper divisors (117962405740580).

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

100212200201020 is a wasteful number, since it uses less digits than its factorization.

100212200201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374793678 (or 374793676 counting only the distinct ones).

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

Adding to 100212200201020 its reverse (20102002212001), we get a palindrome (120314202413021).

The spelling of 100212200201020 in words is "one hundred trillion, two hundred twelve billion, two hundred million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 461 580 922 1844 2305 4610 9220 13369 26738 53476 66845 133690 267380 374793179 749586358 1499172716 1873965895 3747931790 7495863580 10869002191 21738004382 43476008764 54345010955 108690021910 172779655519 217380043820 345559311038 691118622076 863898277595 1727796555190 3455593110380 5010610010051 10021220020102 20042440040204 25053050050255 50106100100510 100212200201020