100202011000100 has 72 divisors (see below), whose sum is σ = 217836779928768. Its totient is φ = 40007375049600.

The previous prime is 100202011000093. The next prime is 100202011000121. The reversal of 100202011000100 is 1000110202001.

It is a super-2 number, since 2×100202011000100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781463594 + ... + 781591806.

It is an arithmetic number, because the mean of its divisors is an integer number (3025510832344).

Almost surely, 2^{100202011000100} is an apocalyptic number.

100202011000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202011000100 is an abundant number, since it is smaller than the sum of its proper divisors (117634768928668).

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

100202011000100 is a wasteful number, since it uses less digits than its factorization.

100202011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142485 (or 142478 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100202011000100 its reverse (1000110202001), we get a palindrome (101202121202101).

The spelling of 100202011000100 in words is "one hundred trillion, two hundred two billion, eleven million, one hundred", and thus it is an aban number.