10202121121110 has 64 divisors (see below), whose sum is σ = 25925918054400. Its totient is φ = 2560480220672.

The previous prime is 10202121121097. The next prime is 10202121121141. The reversal of 10202121121110 is 1112112120201.

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 10202121121110.

It is a congruent number.

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, 28955581 + ... + 29305799.

It is an arithmetic number, because the mean of its divisors is an integer number (405092469600).

Almost surely, 2^{10202121121110} is an apocalyptic number.

10202121121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202121121110 is an abundant number, since it is smaller than the sum of its proper divisors (15723796933290).

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

10202121121110 is a wasteful number, since it uses less digits than its factorization.

10202121121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407365.

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

Adding to 10202121121110 its reverse (1112112120201), we get a palindrome (11314233241311).

Subtracting from 10202121121110 its reverse (1112112120201), we obtain a palindrome (9090009000909).

The spelling of 10202121121110 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred ten".