101022220200000 has 336 divisors, whose sum is σ = 364460275424448. Its totient is φ = 24490233600000.

The previous prime is 101022220199911. The next prime is 101022220200037. The reversal of 101022220200000 is 2022220101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1053199 + ... + 14253198.

It is an arithmetic number, because the mean of its divisors is an integer number (1084703200668).

Almost surely, 2^{101022220200000} is an apocalyptic number.

101022220200000 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 101022220200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182230137712224).

101022220200000 is an abundant number, since it is smaller than the sum of its proper divisors (263438055224448).

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

101022220200000 is an equidigital number, since it uses as much as digits as its factorization.

101022220200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15306448 (or 15306418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101022220200000 its reverse (2022220101), we get a palindrome (101024242420101).

The spelling of 101022220200000 in words is "one hundred one trillion, twenty-two billion, two hundred twenty million, two hundred thousand".