102112011101100 has 3456 divisors, whose sum is σ = 438947715548160. Its totient is φ = 17947754496000.

The previous prime is 102112011101047. The next prime is 102112011101167. The reversal of 102112011101100 is 1101110211201.

It is a super-2 number, since 2×102112011101100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 303003000132 + ... + 303003000468.

It is an arithmetic number, because the mean of its divisors is an integer number (127010334360).

Almost surely, 2^{102112011101100} is an apocalyptic number.

102112011101100 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 102112011101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219473857774080).

102112011101100 is an abundant number, since it is smaller than the sum of its proper divisors (336835704447060).

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

102112011101100 is a wasteful number, since it uses less digits than its factorization.

102112011101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102112011101100 its reverse (1101110211201), we get a palindrome (103213121312301).

The spelling of 102112011101100 in words is "one hundred two trillion, one hundred twelve billion, eleven million, one hundred one thousand, one hundred".