1020101102112 has 48 divisors (see below), whose sum is σ = 2704277947392. Its totient is φ = 336667027200.

The previous prime is 1020101102099. The next prime is 1020101102131. The reversal of 1020101102112 is 2112011010201.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 52594528 + ... + 52613919.

It is an arithmetic number, because the mean of its divisors is an integer number (56339123904).

Almost surely, 2^{1020101102112} is an apocalyptic number.

1020101102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020101102112 is an abundant number, since it is smaller than the sum of its proper divisors (1684176845280).

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

1020101102112 is a wasteful number, since it uses less digits than its factorization.

1020101102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105208561 (or 105208553 counting only the distinct ones).

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

Adding to 1020101102112 its reverse (2112011010201), we get a palindrome (3132112112313).

The spelling of 1020101102112 in words is "one trillion, twenty billion, one hundred one million, one hundred two thousand, one hundred twelve".