100111210022000 has 80 divisors (see below), whose sum is σ = 242076163648800. Its totient is φ = 40043283379200.

The previous prime is 100111210021997. The next prime is 100111210022041. The reversal of 100111210022000 is 220012111001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67524671 + ... + 68991329.

It is an arithmetic number, because the mean of its divisors is an integer number (3025952045610).

Almost surely, 2^{100111210022000} is an apocalyptic number.

100111210022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111210022000 is an abundant number, since it is smaller than the sum of its proper divisors (141964953626800).

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

100111210022000 is a wasteful number, since it uses less digits than its factorization.

100111210022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500811 (or 1500795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100111210022000 its reverse (220012111001), we get a palindrome (100331222133001).

The spelling of 100111210022000 in words is "one hundred trillion, one hundred eleven billion, two hundred ten million, twenty-two thousand".