102111010133200 has 30 divisors (see below), whose sum is σ = 245321701845974. Its totient is φ = 40844404053120.

The previous prime is 102111010133191. The next prime is 102111010133201. The reversal of 102111010133200 is 2331010111201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10985963282064 + 91125046851136 = 3314508^2 + 9545944^2 .

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 (102111010133201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127638762267 + ... + 127638763066.

Almost surely, 2^{102111010133200} is an apocalyptic number.

102111010133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111010133200 is an abundant number, since it is smaller than the sum of its proper divisors (143210691712774).

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

102111010133200 is a wasteful number, since it uses less digits than its factorization.

102111010133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255277525351 (or 255277525340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 102111010133200 its reverse (2331010111201), we get a palindrome (104442020244401).

The spelling of 102111010133200 in words is "one hundred two trillion, one hundred eleven billion, ten million, one hundred thirty-three thousand, two hundred".