101112100220012 has 144 divisors (see below), whose sum is σ = 209015763768000. Its totient is φ = 42668532910080.

The previous prime is 101112100220011. The next prime is 101112100220017. The reversal of 101112100220012 is 210022001211101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101112100220011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5800696937 + ... + 5800714367.

It is an arithmetic number, because the mean of its divisors is an integer number (1451498359500).

Almost surely, 2^{101112100220012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112100220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104507881884000).

101112100220012 is an abundant number, since it is smaller than the sum of its proper divisors (107903663547988).

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

101112100220012 is a wasteful number, since it uses less digits than its factorization.

101112100220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18904 (or 18895 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112100220012 its reverse (210022001211101), we get a palindrome (311134101431113).

The spelling of 101112100220012 in words is "one hundred one trillion, one hundred twelve billion, one hundred million, two hundred twenty thousand, twelve".