12101011020000 has 360 divisors, whose sum is σ = 49144631071536. Its totient is φ = 2765945088000.

The previous prime is 12101011019987. The next prime is 12101011020019. The reversal of 12101011020000 is 2011010121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×12101011020000² (a number of 27 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3541989 + ... + 6061988.

Almost surely, 2^{12101011020000} is an apocalyptic number.

12101011020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101011020000 is an abundant number, since it is smaller than the sum of its proper divisors (37043620051536).

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

12101011020000 is an equidigital number, since it uses as much as digits as its factorization.

12101011020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9604020 (or 9603994 counting only the distinct ones).

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

Adding to 12101011020000 its reverse (2011010121), we get a palindrome (12103022030121).

The spelling of 12101011020000 in words is "twelve trillion, one hundred one billion, eleven million, twenty thousand".