220131102101120 has 256 divisors, whose sum is σ = 615452768282880. Its totient is φ = 73713960714240.

The previous prime is 220131102101093. The next prime is 220131102101129. The reversal of 220131102101120 is 21101201131022.

It is a happy number.

It is a super-2 number, since 2×220131102101120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220131102101129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6425104790 + ... + 6425139050.

It is an arithmetic number, because the mean of its divisors is an integer number (2404112376105).

Almost surely, 2^{220131102101120} is an apocalyptic number.

220131102101120 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 220131102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307726384141440).

220131102101120 is an abundant number, since it is smaller than the sum of its proper divisors (395321666181760).

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

220131102101120 is a wasteful number, since it uses less digits than its factorization.

220131102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67683 (or 67671 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 220131102101120 its reverse (21101201131022), we get a palindrome (241232303232142).

The spelling of 220131102101120 in words is "two hundred twenty trillion, one hundred thirty-one billion, one hundred two million, one hundred one thousand, one hundred twenty".