101222100120 has 128 divisors (see below), whose sum is σ = 307079216640. Its totient is φ = 26690887680.

The previous prime is 101222100101. The next prime is 101222100131. The reversal of 101222100120 is 21001222101.

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 = 101222100096 and 101222100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3854635 + ... + 3880805.

It is an arithmetic number, because the mean of its divisors is an integer number (2399056380).

Almost surely, 2^101222100120 is an apocalyptic number.

101222100120 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 101222100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153539608320).

101222100120 is an abundant number, since it is smaller than the sum of its proper divisors (205857116520).

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

101222100120 is a wasteful number, since it uses less digits than its factorization.

101222100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26545 (or 26541 counting only the distinct ones).

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

Adding to 101222100120 its reverse (21001222101), we get a palindrome (122223322221).

The spelling of 101222100120 in words is "one hundred one billion, two hundred twenty-two million, one hundred thousand, one hundred twenty".