102110000001100 has 576 divisors, whose sum is σ = 293165596200960. Its totient is φ = 29951528140800.

The previous prime is 102110000001091. The next prime is 102110000001133. The reversal of 102110000001100 is 1100000011201.

It is a Harshad number since it is a multiple of its sum of digits (7).

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 191 ways as a sum of consecutive naturals, for example, 10203852297 + ... + 10203862303.

It is an arithmetic number, because the mean of its divisors is an integer number (508968048960).

Almost surely, 2^{102110000001100} is an apocalyptic number.

102110000001100 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 102110000001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146582798100480).

102110000001100 is an abundant number, since it is smaller than the sum of its proper divisors (191055596199860).

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

102110000001100 is a wasteful number, since it uses less digits than its factorization.

102110000001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102110000001100 its reverse (1100000011201), we get a palindrome (103210000012301).

The spelling of 102110000001100 in words is "one hundred two trillion, one hundred ten billion, one thousand, one hundred".