101101010102112 has 96 divisors (see below), whose sum is σ = 279541488078720. Its totient is φ = 31905670901760.

The previous prime is 101101010102021. The next prime is 101101010102119. The reversal of 101101010102112 is 211201010101101.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101010102119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15419089 + ... + 20974992.

It is an arithmetic number, because the mean of its divisors is an integer number (2911890500820).

Almost surely, 2^{101101010102112} is an apocalyptic number.

101101010102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101010102112 is an abundant number, since it is smaller than the sum of its proper divisors (178440477976608).

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

101101010102112 is a wasteful number, since it uses less digits than its factorization.

101101010102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36395636 (or 36395628 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101010102112 its reverse (211201010101101), we get a palindrome (312302020203213).

The spelling of 101101010102112 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred two thousand, one hundred twelve".