10120001121120 has 192 divisors, whose sum is σ = 34778095801344. Its totient is φ = 2453186027520.

The previous prime is 10120001121073. The next prime is 10120001121143. The reversal of 10120001121120 is 2112110002101.

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 = 10120001121096 and 10120001121105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106307464 + ... + 106402616.

It is an arithmetic number, because the mean of its divisors is an integer number (181135915632).

Almost surely, 2^{10120001121120} is an apocalyptic number.

10120001121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120001121120 is an abundant number, since it is smaller than the sum of its proper divisors (24658094680224).

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

10120001121120 is a wasteful number, since it uses less digits than its factorization.

10120001121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115325 (or 115317 counting only the distinct ones).

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

Adding to 10120001121120 its reverse (2112110002101), we get a palindrome (12232111123221).

The spelling of 10120001121120 in words is "ten trillion, one hundred twenty billion, one million, one hundred twenty-one thousand, one hundred twenty".