1022102101120 has 128 divisors (see below), whose sum is σ = 2554215782400. Its totient is φ = 390643568640.

The previous prime is 1022102101109. The next prime is 1022102101169. The reversal of 1022102101120 is 211012012201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1022102101120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1022102101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241302 + ... + 1893418.

It is an arithmetic number, because the mean of its divisors is an integer number (19954810800).

Almost surely, 2^{1022102101120} is an apocalyptic number.

1022102101120 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 1022102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277107891200).

1022102101120 is an abundant number, since it is smaller than the sum of its proper divisors (1532113681280).

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

1022102101120 is an equidigital number, since it uses as much as digits as its factorization.

1022102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652246 (or 652234 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022102101120 its reverse (211012012201), we get a palindrome (1233114113321).

The spelling of 1022102101120 in words is "one trillion, twenty-two billion, one hundred two million, one hundred one thousand, one hundred twenty".