102022110120000 has 840 divisors, whose sum is σ = 392783662244160. Its totient is φ = 23295336960000.

The previous prime is 102022110119987. The next prime is 102022110120101. The reversal of 102022110120000 is 21011220201.

102022110120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×102022110120000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6062271586 + ... + 6062288414.

Almost surely, 2^{102022110120000} is an apocalyptic number.

102022110120000 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 102022110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196391831122080).

102022110120000 is an abundant number, since it is smaller than the sum of its proper divisors (290761552124160).

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

102022110120000 is a wasteful number, since it uses less digits than its factorization.

102022110120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17909 (or 17877 counting only the distinct ones).

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

Adding to 102022110120000 its reverse (21011220201), we get a palindrome (102043121340201).

The spelling of 102022110120000 in words is "one hundred two trillion, twenty-two billion, one hundred ten million, one hundred twenty thousand".