10012111121120 has 48 divisors (see below), whose sum is σ = 23654478532608. Its totient is φ = 4004697822720.

The previous prime is 10012111121099. The next prime is 10012111121161. The reversal of 10012111121120 is 2112111121001.

It is a junction number, because it is equal to n+sod(n) for n = 10012111121095 and 10012111121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3291830 + ... + 5555210.

It is an arithmetic number, because the mean of its divisors is an integer number (492801636096).

Almost surely, 2^{10012111121120} is an apocalyptic number.

10012111121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012111121120 is an abundant number, since it is smaller than the sum of its proper divisors (13642367411488).

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

10012111121120 is a wasteful number, since it uses less digits than its factorization.

10012111121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291043 (or 2291035 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10012111121120 its reverse (2112111121001), we get a palindrome (12124222242121).

The spelling of 10012111121120 in words is "ten trillion, twelve billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".