1010120121120 has 96 divisors (see below), whose sum is σ = 3471140070720. Its totient is φ = 244877603840.

The previous prime is 1010120121091. The next prime is 1010120121149. The reversal of 1010120121120 is 211210210101.

It is an interprime number because it is at equal distance from previous prime (1010120121091) and next prime (1010120121149).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010120121096 and 1010120121105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95650035 + ... + 95660594.

It is an arithmetic number, because the mean of its divisors is an integer number (36157709070).

Almost surely, 2^{1010120121120} is an apocalyptic number.

1010120121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010120121120 is an abundant number, since it is smaller than the sum of its proper divisors (2461019949600).

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

1010120121120 is a wasteful number, since it uses less digits than its factorization.

1010120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191310658 (or 191310650 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010120121120 its reverse (211210210101), we get a palindrome (1221330331221).

The spelling of 1010120121120 in words is "one trillion, ten billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".