10122000201120 has 96 divisors (see below), whose sum is σ = 32912826508800. Its totient is φ = 2612129080320.

The previous prime is 10122000201119. The next prime is 10122000201133. The reversal of 10122000201120 is 2110200022101.

10122000201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10122000201096 and 10122000201105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340106095 + ... + 340135854.

It is an arithmetic number, because the mean of its divisors is an integer number (342841942800).

Almost surely, 2^{10122000201120} is an apocalyptic number.

10122000201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122000201120 is an abundant number, since it is smaller than the sum of its proper divisors (22790826307680).

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

10122000201120 is a wasteful number, since it uses less digits than its factorization.

10122000201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680241998 (or 680241990 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122000201120 its reverse (2110200022101), we get a palindrome (12232200223221).

The spelling of 10122000201120 in words is "ten trillion, one hundred twenty-two billion, two hundred one thousand, one hundred twenty".