102011110221200 has 60 divisors (see below), whose sum is σ = 245084518172100. Its totient is φ = 40803973601280.

The previous prime is 102011110221179. The next prime is 102011110221227. The reversal of 102011110221200 is 2122011110201.

It can be written as a sum of positive squares in 6 ways, for example, as 8303134458256 + 93707975762944 = 2881516^2 + 9680288^2 .

It is a super-2 number, since 2×102011110221200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34354052 + ... + 37205148.

It is an arithmetic number, because the mean of its divisors is an integer number (4084741969535).

Almost surely, 2^{102011110221200} is an apocalyptic number.

102011110221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011110221200 is an abundant number, since it is smaller than the sum of its proper divisors (143073407950900).

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

102011110221200 is a wasteful number, since it uses less digits than its factorization.

102011110221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940564 (or 2940553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102011110221200 its reverse (2122011110201), we get a palindrome (104133121331401).

The spelling of 102011110221200 in words is "one hundred two trillion, eleven billion, one hundred ten million, two hundred twenty-one thousand, two hundred".