10002221111120 has 80 divisors (see below), whose sum is σ = 27078789525120. Its totient is φ = 3364628547072.

The previous prime is 10002221111101. The next prime is 10002221111153. The reversal of 10002221111120 is 2111112220001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10002221111095 and 10002221111104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168471350 + ... + 168530709.

It is an arithmetic number, because the mean of its divisors is an integer number (338484869064).

Almost surely, 2^{10002221111120} is an apocalyptic number.

10002221111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002221111120 is an abundant number, since it is smaller than the sum of its proper divisors (17076568414000).

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

10002221111120 is a wasteful number, since it uses less digits than its factorization.

10002221111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337002132 (or 337002126 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10002221111120 its reverse (2111112220001), we get a palindrome (12113333331121).

It can be divided in two parts, 10002 and 221111120, that added together give a palindrome (221121122).

The spelling of 10002221111120 in words is "ten trillion, two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty".