10122120101128 has 64 divisors (see below), whose sum is σ = 22324595996160. Its totient is φ = 4211690224896.

The previous prime is 10122120101111. The next prime is 10122120101131. The reversal of 10122120101128 is 82110102122101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10122120101099 and 10122120101108.

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, 4316251 + ... + 6234922.

It is an arithmetic number, because the mean of its divisors is an integer number (348821812440).

Almost surely, 2^{10122120101128} is an apocalyptic number.

It is an amenable number.

10122120101128 is an abundant number, since it is smaller than the sum of its proper divisors (12202475895032).

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

10122120101128 is a wasteful number, since it uses less digits than its factorization.

10122120101128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10551686 (or 10551682 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 10122120101128 its reverse (82110102122101), we get a palindrome (92232222223229).

The spelling of 10122120101128 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred one thousand, one hundred twenty-eight".