101122202021200 has 120 divisors (see below), whose sum is σ = 244207703090592. Its totient is φ = 40239110376960.

The previous prime is 101122202021111. The next prime is 101122202021207. The reversal of 101122202021200 is 2120202221101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122202021207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115515547 + ... + 116387653.

Almost surely, 2^{101122202021200} is an apocalyptic number.

101122202021200 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 101122202021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122103851545296).

101122202021200 is an abundant number, since it is smaller than the sum of its proper divisors (143085501069392).

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

101122202021200 is a wasteful number, since it uses less digits than its factorization.

101122202021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873629 (or 873618 counting only the distinct ones).

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

Adding to 101122202021200 its reverse (2120202221101), we get a palindrome (103242404242301).

The spelling of 101122202021200 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred two million, twenty-one thousand, two hundred".