101112202102200 has 96 divisors (see below), whose sum is σ = 313479503133360. Its totient is φ = 26960529024000.

The previous prime is 101112202102189. The next prime is 101112202102237. The reversal of 101112202102200 is 2201202211101.

101112202102200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101112202102200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101112202102200.

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, 2569669 + ... + 14450868.

Almost surely, 2^{101112202102200} is an apocalyptic number.

101112202102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112202102200 is an abundant number, since it is smaller than the sum of its proper divisors (212367301031160).

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

101112202102200 is a wasteful number, since it uses less digits than its factorization.

101112202102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17030457 (or 17030448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101112202102200 its reverse (2201202211101), we get a palindrome (103313404313301).

The spelling of 101112202102200 in words is "one hundred one trillion, one hundred twelve billion, two hundred two million, one hundred two thousand, two hundred".