101012220122200 has 96 divisors (see below), whose sum is σ = 237186702561600. Its totient is φ = 40004020592640.

The previous prime is 101012220122167. The next prime is 101012220122221. The reversal of 101012220122200 is 2221022210101.

It is a happy number.

It is a super-2 number, since 2×101012220122200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27182712 + ... + 30674488.

It is an arithmetic number, because the mean of its divisors is an integer number (2470694818350).

Almost surely, 2^{101012220122200} is an apocalyptic number.

101012220122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012220122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118593351280800).

101012220122200 is an abundant number, since it is smaller than the sum of its proper divisors (136174482439400).

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

101012220122200 is a wasteful number, since it uses less digits than its factorization.

101012220122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493229 (or 3493220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101012220122200 its reverse (2221022210101), we get a palindrome (103233242332301).

The spelling of 101012220122200 in words is "one hundred one trillion, twelve billion, two hundred twenty million, one hundred twenty-two thousand, two hundred".