1020102011112 has 64 divisors (see below), whose sum is σ = 2635400813760. Its totient is φ = 328837824000.

The previous prime is 1020102011107. The next prime is 1020102011113. The reversal of 1020102011112 is 2111102010201.

It is a super-2 number, since 2×1020102011112² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1020102011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4789189 + ... + 4997652.

It is an arithmetic number, because the mean of its divisors is an integer number (41178137715).

Almost surely, 2^{1020102011112} is an apocalyptic number.

1020102011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020102011112 is an abundant number, since it is smaller than the sum of its proper divisors (1615298802648).

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

1020102011112 is a wasteful number, since it uses less digits than its factorization.

1020102011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786994 (or 9786990 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1020102011112 its reverse (2111102010201), we get a palindrome (3131204021313).

The spelling of 1020102011112 in words is "one trillion, twenty billion, one hundred two million, eleven thousand, one hundred twelve".