102201100200112 has 80 divisors (see below), whose sum is σ = 210978887460192. Its totient is φ = 47793378447360.

The previous prime is 102201100200103. The next prime is 102201100200131. The reversal of 102201100200112 is 211002001102201.

It is a super-2 number, since 2×102201100200112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102201100200092 and 102201100200101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36113458 + ... + 38840494.

Almost surely, 2^{102201100200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201100200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105489443730096).

102201100200112 is an abundant number, since it is smaller than the sum of its proper divisors (108777787260080).

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

102201100200112 is a wasteful number, since it uses less digits than its factorization.

102201100200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727926 (or 2727920 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102201100200112 its reverse (211002001102201), we get a palindrome (313203101302313).

The spelling of 102201100200112 in words is "one hundred two trillion, two hundred one billion, one hundred million, two hundred thousand, one hundred twelve".