121002113101120 has 112 divisors (see below), whose sum is σ = 306428168813760. Its totient is φ = 45380716314624.

The previous prime is 121002113101069. The next prime is 121002113101153. The reversal of 121002113101120 is 21101311200121.

It is a happy number.

It is a super-2 number, since 2×121002113101120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121002113101094 and 121002113101103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101996134 + ... + 103175653.

It is an arithmetic number, because the mean of its divisors is an integer number (2735965792980).

Almost surely, 2^{121002113101120} is an apocalyptic number.

121002113101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121002113101120 is an abundant number, since it is smaller than the sum of its proper divisors (185426055712640).

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

121002113101120 is a wasteful number, since it uses less digits than its factorization.

121002113101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205171920 (or 205171910 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 121002113101120 its reverse (21101311200121), we get a palindrome (142103424301241).

The spelling of 121002113101120 in words is "one hundred twenty-one trillion, two billion, one hundred thirteen million, one hundred one thousand, one hundred twenty".