102120011021000 has 64 divisors (see below), whose sum is σ = 273098086634880. Its totient is φ = 35012575204800.

The previous prime is 102120011020987. The next prime is 102120011021023. The reversal of 102120011021000 is 120110021201.

It is a super-2 number, since 2×102120011021000² (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 15 ways as a sum of consecutive naturals, for example, 7294279502 + ... + 7294293501.

It is an arithmetic number, because the mean of its divisors is an integer number (4267157603670).

Almost surely, 2^{102120011021000} is an apocalyptic number.

102120011021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120011021000 is an abundant number, since it is smaller than the sum of its proper divisors (170978075613880).

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

102120011021000 is a wasteful number, since it uses less digits than its factorization.

102120011021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588573031 (or 14588573017 counting only the distinct ones).

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

Adding to 102120011021000 its reverse (120110021201), we get a palindrome (102240121042201).

The spelling of 102120011021000 in words is "one hundred two trillion, one hundred twenty billion, eleven million, twenty-one thousand".