10121210212110 has 64 divisors (see below), whose sum is σ = 24809508403200. Its totient is φ = 2641374958592.

The previous prime is 10121210212033. The next prime is 10121210212117. The reversal of 10121210212110 is 1121201212101.

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 10121210212110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121210212117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20010511 + ... + 20510069.

It is an arithmetic number, because the mean of its divisors is an integer number (387648568800).

Almost surely, 2^{10121210212110} is an apocalyptic number.

10121210212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121210212110 is an abundant number, since it is smaller than the sum of its proper divisors (14688298191090).

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

10121210212110 is a wasteful number, since it uses less digits than its factorization.

10121210212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513985.

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

Adding to 10121210212110 its reverse (1121201212101), we get a palindrome (11242411424211).

Subtracting from 10121210212110 its reverse (1121201212101), we obtain a palindrome (9000009000009).

The spelling of 10121210212110 in words is "ten trillion, one hundred twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred ten".