101310223222120 has 128 divisors (see below), whose sum is σ = 254594954148480. Its totient is φ = 35963343360000.

The previous prime is 101310223222027. The next prime is 101310223222121. The reversal of 101310223222120 is 21222322013101.

It is a super-2 number, since 2×101310223222120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101310223222091 and 101310223222100.

It is not an unprimeable number, because it can be changed into a prime (101310223222121) 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, 32588340 + ... + 35561500.

It is an arithmetic number, because the mean of its divisors is an integer number (1989023079285).

Almost surely, 2^{101310223222120} is an apocalyptic number.

101310223222120 is a gapful number since it is divisible by the number (10) 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 101310223222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127297477074240).

101310223222120 is an abundant number, since it is smaller than the sum of its proper divisors (153284730926360).

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

101310223222120 is a wasteful number, since it uses less digits than its factorization.

101310223222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975027 (or 2975023 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101310223222120 its reverse (21222322013101), we get a palindrome (122532545235221).

The spelling of 101310223222120 in words is "one hundred one trillion, three hundred ten billion, two hundred twenty-three million, two hundred twenty-two thousand, one hundred twenty".