10011121002120 has 192 divisors, whose sum is σ = 34938707961600. Its totient is φ = 2288129249280.

The previous prime is 10011121002037. The next prime is 10011121002133. The reversal of 10011121002120 is 2120012111001.

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 = 10011121002096 and 10011121002105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142490200 + ... + 142560440.

It is an arithmetic number, because the mean of its divisors is an integer number (181972437300).

Almost surely, 2^{10011121002120} is an apocalyptic number.

10011121002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011121002120 is an abundant number, since it is smaller than the sum of its proper divisors (24927586959480).

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

10011121002120 is a wasteful number, since it uses less digits than its factorization.

10011121002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94508 (or 94497 counting only the distinct ones).

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

Adding to 10011121002120 its reverse (2120012111001), we get a palindrome (12131133113121).

The spelling of 10011121002120 in words is "ten trillion, eleven billion, one hundred twenty-one million, two thousand, one hundred twenty".