101202234222200 has 192 divisors, whose sum is σ = 240483713771520. Its totient is φ = 39593107008000.

The previous prime is 101202234222179. The next prime is 101202234222217. The reversal of 101202234222200 is 2222432202101.

It is a congruent number.

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, 16615041155 + ... + 16615047245.

It is an arithmetic number, because the mean of its divisors is an integer number (1252519342560).

Almost surely, 2^{101202234222200} is an apocalyptic number.

101202234222200 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 101202234222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120241856885760).

101202234222200 is an abundant number, since it is smaller than the sum of its proper divisors (139281479549320).

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

101202234222200 is a wasteful number, since it uses less digits than its factorization.

101202234222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10789 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 101202234222200 its reverse (2222432202101), we get a palindrome (103424666424301).

The spelling of 101202234222200 in words is "one hundred one trillion, two hundred two billion, two hundred thirty-four million, two hundred twenty-two thousand, two hundred".