1020102202112 has 108 divisors (see below), whose sum is σ = 2369189014920. Its totient is φ = 437089701888.

The previous prime is 1020102202051. The next prime is 1020102202117. The reversal of 1020102202112 is 2112022010201.

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

It is not an unprimeable number, because it can be changed into a prime (1020102202117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112502603 + ... + 112511669.

Almost surely, 2^{1020102202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020102202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184594507460).

1020102202112 is an abundant number, since it is smaller than the sum of its proper divisors (1349086812808).

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

1020102202112 is an frugal number, since it uses more digits than its factorization.

1020102202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18066 (or 18045 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020102202112 its reverse (2112022010201), we get a palindrome (3132124212313).

The spelling of 1020102202112 in words is "one trillion, twenty billion, one hundred two million, two hundred two thousand, one hundred twelve".