102221211102120 has 640 divisors, whose sum is σ = 377789038640640. Its totient is φ = 24584721039360.

The previous prime is 102221211102091. The next prime is 102221211102133. The reversal of 102221211102120 is 21201112122201.

102221211102120 is a `hidden beast` number, since 1 + 0 + 222 + 121 + 110 + 212 + 0 = 666.

102221211102120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102221211102120² (a number of 29 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 = 102221211102093 and 102221211102102.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2524396594 + ... + 2524437086.

It is an arithmetic number, because the mean of its divisors is an integer number (590295372876).

Almost surely, 2^{102221211102120} is an apocalyptic number.

102221211102120 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 102221211102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894519320320).

102221211102120 is an abundant number, since it is smaller than the sum of its proper divisors (275567827538520).

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

102221211102120 is a wasteful number, since it uses less digits than its factorization.

102221211102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41087 (or 41074 counting only the distinct ones).

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

Adding to 102221211102120 its reverse (21201112122201), we get a palindrome (123422323224321).

The spelling of 102221211102120 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred eleven million, one hundred two thousand, one hundred twenty".