101122110122202 has 192 divisors, whose sum is σ = 247513802215680. Its totient is φ = 29604197855232.

The previous prime is 101122110122183. The next prime is 101122110122203. The reversal of 101122110122202 is 202221011221101.

It is a super-3 number, since 3×101122110122202³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101122110122203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7365577674 + ... + 7365591402.

It is an arithmetic number, because the mean of its divisors is an integer number (1289134386540).

Almost surely, 2^{101122110122202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122110122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123756901107840).

101122110122202 is an abundant number, since it is smaller than the sum of its proper divisors (146391692093478).

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

101122110122202 is a wasteful number, since it uses less digits than its factorization.

101122110122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20917 (or 20914 counting only the distinct ones).

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

Adding to 101122110122202 its reverse (202221011221101), we get a palindrome (303343121343303).

The spelling of 101122110122202 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty-two thousand, two hundred two".