101210012212122 has 96 divisors (see below), whose sum is σ = 239877975782016. Its totient is φ = 30585823632000.

The previous prime is 101210012212109. The next prime is 101210012212151. The reversal of 101210012212122 is 221212210012101.

101210012212122 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101210012212095 and 101210012212104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2699418808 + ... + 2699456300.

It is an arithmetic number, because the mean of its divisors is an integer number (2498728914396).

Almost surely, 2^{101210012212122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210012212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119938987891008).

101210012212122 is an abundant number, since it is smaller than the sum of its proper divisors (138667963569894).

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

101210012212122 is a wasteful number, since it uses less digits than its factorization.

101210012212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74436 (or 74433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101210012212122 its reverse (221212210012101), we get a palindrome (322422222224223).

The spelling of 101210012212122 in words is "one hundred one trillion, two hundred ten billion, twelve million, two hundred twelve thousand, one hundred twenty-two".