101112012120210 has 256 divisors, whose sum is σ = 306763765346304. Its totient is φ = 20755433198592.

The previous prime is 101112012120181. The next prime is 101112012120269. The reversal of 101112012120210 is 12021210211101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101112012120210.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1861284109 + ... + 1861338431.

It is an arithmetic number, because the mean of its divisors is an integer number (1198295958384).

Almost surely, 2^{101112012120210} is an apocalyptic number.

101112012120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112012120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153381882673152).

101112012120210 is an abundant number, since it is smaller than the sum of its proper divisors (205651753226094).

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

101112012120210 is a wasteful number, since it uses less digits than its factorization.

101112012120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72817.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112012120210 its reverse (12021210211101), we get a palindrome (113133222331311).

The spelling of 101112012120210 in words is "one hundred one trillion, one hundred twelve billion, twelve million, one hundred twenty thousand, two hundred ten".