10122121110120 has 64 divisors (see below), whose sum is σ = 30366860584320. Its totient is φ = 2699188095744.

The previous prime is 10122121110109. The next prime is 10122121110131. The reversal of 10122121110120 is 2101112122101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10122121110109) and next prime (10122121110131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122121110120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7025829 + ... + 8343051.

It is an arithmetic number, because the mean of its divisors is an integer number (474482196630).

Almost surely, 2^{10122121110120} is an apocalyptic number.

10122121110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122121110120 is an abundant number, since it is smaller than the sum of its proper divisors (20244739474200).

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

10122121110120 is a wasteful number, since it uses less digits than its factorization.

10122121110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381274 (or 1381270 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10122121110120 its reverse (2101112122101), we get a palindrome (12223233232221).

The spelling of 10122121110120 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".