101012222002122 has 160 divisors (see below), whose sum is σ = 239956205068800. Its totient is φ = 31715145648000.

The previous prime is 101012222002093. The next prime is 101012222002157. The reversal of 101012222002122 is 221200222210101.

It is a happy number.

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 = 101012222002095 and 101012222002104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28238404 + ... + 31613792.

It is an arithmetic number, because the mean of its divisors is an integer number (1499726281680).

Almost surely, 2^{101012222002122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012222002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119978102534400).

101012222002122 is an abundant number, since it is smaller than the sum of its proper divisors (138943983066678).

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

101012222002122 is a wasteful number, since it uses less digits than its factorization.

101012222002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375594 (or 3375585 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101012222002122 its reverse (221200222210101), we get a palindrome (322212444212223).

The spelling of 101012222002122 in words is "one hundred one trillion, twelve billion, two hundred twenty-two million, two thousand, one hundred twenty-two".