101222211012120 has 1152 divisors, whose sum is σ = 376652486246400. Its totient is φ = 23375103897600.

The previous prime is 101222211012073. The next prime is 101222211012187. The reversal of 101222211012120 is 21210112222101.

101222211012120 is a `hidden beast` number, since 10 + 122 + 221 + 101 + 212 + 0 = 666.

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 = 101222211012093 and 101222211012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54391299990 + ... + 54391301850.

It is an arithmetic number, because the mean of its divisors is an integer number (326955283200).

Almost surely, 2^{101222211012120} is an apocalyptic number.

101222211012120 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 101222211012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188326243123200).

101222211012120 is an abundant number, since it is smaller than the sum of its proper divisors (275430275234280).

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

101222211012120 is a wasteful number, since it uses less digits than its factorization.

101222211012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101222211012120 its reverse (21210112222101), we get a palindrome (122432323234221).

The spelling of 101222211012120 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred eleven million, twelve thousand, one hundred twenty".