22102011120 has 80 divisors (see below), whose sum is σ = 78304273920. Its totient is φ = 5051887872.

The previous prime is 22102011119. The next prime is 22102011143. The reversal of 22102011120 is 2111020122.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 22102011096 and 22102011105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6576300 + ... + 6579659.

It is an arithmetic number, because the mean of its divisors is an integer number (978803424).

Almost surely, 2^22102011120 is an apocalyptic number.

22102011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102011120 is an abundant number, since it is smaller than the sum of its proper divisors (56202262800).

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

22102011120 is a wasteful number, since it uses less digits than its factorization.

22102011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155982 (or 13155976 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22102011120 its reverse (2111020122), we get a palindrome (24213031242).

The spelling of 22102011120 in words is "twenty-two billion, one hundred two million, eleven thousand, one hundred twenty".