22201013310120 has 192 divisors, whose sum is σ = 74413448928000. Its totient is φ = 5736160571904.

The previous prime is 22201013310097. The next prime is 22201013310167. The reversal of 22201013310120 is 2101331010222.

22201013310120 is a `hidden beast` number, since 2 + 220 + 1 + 0 + 13 + 310 + 120 = 666.

It is a super-2 number, since 2×22201013310120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22201013310093 and 22201013310102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303430 + ... + 6670389.

It is an arithmetic number, because the mean of its divisors is an integer number (387570046500).

Almost surely, 2^{22201013310120} is an apocalyptic number.

22201013310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201013310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37206724464000).

22201013310120 is an abundant number, since it is smaller than the sum of its proper divisors (52212435617880).

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

22201013310120 is a wasteful number, since it uses less digits than its factorization.

22201013310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6974112 (or 6974105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22201013310120 its reverse (2101331010222), we get a palindrome (24302344320342).

The spelling of 22201013310120 in words is "twenty-two trillion, two hundred one billion, thirteen million, three hundred ten thousand, one hundred twenty".