100202102101020 has 48 divisors (see below), whose sum is σ = 297069761526048. Its totient is φ = 25148762880000.

The previous prime is 100202102100979. The next prime is 100202102101027. The reversal of 100202102101020 is 20101201202001.

It is a super-2 number, since 2×100202102101020² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100202102100987 and 100202102101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202102101027) 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, 49118676481 + ... + 49118678520.

It is an arithmetic number, because the mean of its divisors is an integer number (6188953365126).

Almost surely, 2^{100202102101020} is an apocalyptic number.

100202102101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202102101020 is an abundant number, since it is smaller than the sum of its proper divisors (196867659425028).

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

100202102101020 is a wasteful number, since it uses less digits than its factorization.

100202102101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98237355030 (or 98237355028 counting only the distinct ones).

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

Adding to 100202102101020 its reverse (20101201202001), we get a palindrome (120303303303021).

The spelling of 100202102101020 in words is "one hundred trillion, two hundred two billion, one hundred two million, one hundred one thousand, twenty".