100021111002000 has 120 divisors (see below), whose sum is σ = 349340400422520. Its totient is φ = 26672296262400.

The previous prime is 100021111001993. The next prime is 100021111002013. The reversal of 100021111002000 is 200111120001.

It is a happy number.

100021111002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1308699392256 + 98712411609744 = 1143984^2 + 9935412^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 2778346195 + ... + 2778382194.

It is an arithmetic number, because the mean of its divisors is an integer number (2911170003521).

Almost surely, 2^{100021111002000} is an apocalyptic number.

100021111002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021111002000 is an abundant number, since it is smaller than the sum of its proper divisors (249319289420520).

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

100021111002000 is a wasteful number, since it uses less digits than its factorization.

100021111002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556728418 (or 5556728399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100021111002000 its reverse (200111120001), we get a palindrome (100221222122001).

The spelling of 100021111002000 in words is "one hundred trillion, twenty-one billion, one hundred eleven million, two thousand".