10121112210120 has 128 divisors (see below), whose sum is σ = 30387245091840. Its totient is φ = 2696839004160.

The previous prime is 10121112210091. The next prime is 10121112210163. The reversal of 10121112210120 is 2101221112101.

It is a happy number.

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 10121112210120.

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, 1450636072 + ... + 1450643048.

It is an arithmetic number, because the mean of its divisors is an integer number (237400352280).

Almost surely, 2^{10121112210120} is an apocalyptic number.

10121112210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121112210120 is an abundant number, since it is smaller than the sum of its proper divisors (20266132881720).

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

10121112210120 is a wasteful number, since it uses less digits than its factorization.

10121112210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14775 (or 14771 counting only the distinct ones).

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

Adding to 10121112210120 its reverse (2101221112101), we get a palindrome (12222333322221).

The spelling of 10121112210120 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, two hundred ten thousand, one hundred twenty".