101002101002112 has 128 divisors (see below), whose sum is σ = 281668973333760. Its totient is φ = 32006000074752.

The previous prime is 101002101002107. The next prime is 101002101002129. The reversal of 101002101002112 is 211200101200101.

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

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

It is a congruent number.

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, 33639913 + ... + 36519144.

It is an arithmetic number, because the mean of its divisors is an integer number (2200538854170).

Almost surely, 2^{101002101002112} is an apocalyptic number.

101002101002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002101002112 is an abundant number, since it is smaller than the sum of its proper divisors (180666872331648).

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

101002101002112 is a wasteful number, since it uses less digits than its factorization.

101002101002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70159260 (or 70159248 counting only the distinct ones).

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

Adding to 101002101002112 its reverse (211200101200101), we get a palindrome (312202202202213).

The spelling of 101002101002112 in words is "one hundred one trillion, two billion, one hundred one million, two thousand, one hundred twelve".