102220111112000 has 448 divisors, whose sum is σ = 305697853992960. Its totient is φ = 33075986688000.

The previous prime is 102220111111961. The next prime is 102220111112033. The reversal of 102220111112000 is 211111022201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×102220111112000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279649355 + ... + 280014645.

Almost surely, 2^{102220111112000} is an apocalyptic number.

102220111112000 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 102220111112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152848926996480).

102220111112000 is an abundant number, since it is smaller than the sum of its proper divisors (203477742880960).

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

102220111112000 is a wasteful number, since it uses less digits than its factorization.

102220111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365607 (or 365587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102220111112000 its reverse (211111022201), we get a palindrome (102431222134201).

The spelling of 102220111112000 in words is "one hundred two trillion, two hundred twenty billion, one hundred eleven million, one hundred twelve thousand".