101221121101110 has 32 divisors (see below), whose sum is σ = 243171454531680. Its totient is φ = 26965547417088.

The previous prime is 101221121101091. The next prime is 101221121101147. The reversal of 101221121101110 is 11101121122101.

101221121101110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 101221121101110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671940677 + ... + 1672001216.

It is an arithmetic number, because the mean of its divisors is an integer number (7599107954115).

Almost surely, 2^{101221121101110} is an apocalyptic number.

101221121101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221121101110 is an abundant number, since it is smaller than the sum of its proper divisors (141950333430570).

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

101221121101110 is a wasteful number, since it uses less digits than its factorization.

101221121101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343942912.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101221121101110 its reverse (11101121122101), we get a palindrome (112322242223211).

The spelling of 101221121101110 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, one hundred ten".