121120102010000 has 100 divisors (see below), whose sum is σ = 293879994020844. Its totient is φ = 48342945600000.

The previous prime is 121120102009981. The next prime is 121120102010021. The reversal of 121120102010000 is 10201021121.

It can be written as a sum of positive squares in 10 ways, for example, as 87361399079824 + 33758702930176 = 9346732^2 + 5810224^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×121120102010000² (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 19 ways as a sum of consecutive naturals, for example, 8526671 + ... + 17746670.

Almost surely, 2^{121120102010000} is an apocalyptic number.

121120102010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120102010000 is an abundant number, since it is smaller than the sum of its proper divisors (172759892010844).

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

121120102010000 is an equidigital number, since it uses as much as digits as its factorization.

121120102010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26273830 (or 26273809 counting only the distinct ones).

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

Adding to 121120102010000 its reverse (10201021121), we get a palindrome (121130303031121).

The spelling of 121120102010000 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred two million, ten thousand".