101102223202200 has 576 divisors, whose sum is σ = 374684000296320. Its totient is φ = 24227733504000.

The previous prime is 101102223202177. The next prime is 101102223202229. The reversal of 101102223202200 is 2202322201101.

101102223202200 is a `hidden beast` number, since 1 + 0 + 1 + 102 + 22 + 320 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 666530767 + ... + 666682433.

It is an arithmetic number, because the mean of its divisors is an integer number (650493056070).

Almost surely, 2^{101102223202200} is an apocalyptic number.

101102223202200 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 101102223202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187342000148160).

101102223202200 is an abundant number, since it is smaller than the sum of its proper divisors (273581777094120).

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

101102223202200 is a wasteful number, since it uses less digits than its factorization.

101102223202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152088 (or 152076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101102223202200 its reverse (2202322201101), we get a palindrome (103304545403301).

The spelling of 101102223202200 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-three million, two hundred two thousand, two hundred".