101001101112012 has 96 divisors (see below), whose sum is σ = 248307114585600. Its totient is φ = 31864977510912.

The previous prime is 101001101111971. The next prime is 101001101112047. The reversal of 101001101112012 is 210211101100101.

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 31 ways as a sum of consecutive naturals, for example, 1880217778 + ... + 1880271494.

It is an arithmetic number, because the mean of its divisors is an integer number (2586532443600).

Almost surely, 2^{101001101112012} is an apocalyptic number.

101001101112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001101112012 is an abundant number, since it is smaller than the sum of its proper divisors (147306013473588).

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

101001101112012 is a wasteful number, since it uses less digits than its factorization.

101001101112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61375 (or 61373 counting only the distinct ones).

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

Adding to 101001101112012 its reverse (210211101100101), we get a palindrome (311212202212113).

The spelling of 101001101112012 in words is "one hundred one trillion, one billion, one hundred one million, one hundred twelve thousand, twelve".