10121211102120 has 32 divisors (see below), whose sum is σ = 30363633306720. Its totient is φ = 2698989627200.

The previous prime is 10121211102113. The next prime is 10121211102127. The reversal of 10121211102120 is 2120111212101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10121211102113) and next prime (10121211102127).

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 10121211102120.

It is not an unprimeable number, because it can be changed into a prime (10121211102127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42171712806 + ... + 42171713045.

It is an arithmetic number, because the mean of its divisors is an integer number (948863540835).

Almost surely, 2^{10121211102120} is an apocalyptic number.

10121211102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121211102120 is an abundant number, since it is smaller than the sum of its proper divisors (20242422204600).

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

10121211102120 is a wasteful number, since it uses less digits than its factorization.

10121211102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84343425865 (or 84343425861 counting only the distinct ones).

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

Adding to 10121211102120 its reverse (2120111212101), we get a palindrome (12241322314221).

The spelling of 10121211102120 in words is "ten trillion, one hundred twenty-one billion, two hundred eleven million, one hundred two thousand, one hundred twenty".