101122312122 has 96 divisors (see below), whose sum is σ = 237595438080. Its totient is φ = 30898350720.

The previous prime is 101122312103. The next prime is 101122312127. The reversal of 101122312122 is 221213221101.

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 = 101122312095 and 101122312104.

It is not an unprimeable number, because it can be changed into a prime (101122312127) 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, 45528972 + ... + 45531192.

It is an arithmetic number, because the mean of its divisors is an integer number (2474952480).

Almost surely, 2^101122312122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122312122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118797719040).

101122312122 is an abundant number, since it is smaller than the sum of its proper divisors (136473125958).

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

101122312122 is a wasteful number, since it uses less digits than its factorization.

101122312122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101122312122 its reverse (221213221101), we get a palindrome (322335533223).

The spelling of 101122312122 in words is "one hundred one billion, one hundred twenty-two million, three hundred twelve thousand, one hundred twenty-two".