102211011101100 has 72 divisors (see below), whose sum is σ = 322615118685888. Its totient is φ = 24778426932800.

The previous prime is 102211011101099. The next prime is 102211011101123. The reversal of 102211011101100 is 1101110112201.

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

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 23 ways as a sum of consecutive naturals, for example, 15486513534 + ... + 15486520133.

It is an arithmetic number, because the mean of its divisors is an integer number (4480765537304).

Almost surely, 2^{102211011101100} is an apocalyptic number.

102211011101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211011101100 is an abundant number, since it is smaller than the sum of its proper divisors (220404107584788).

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

102211011101100 is a wasteful number, since it uses less digits than its factorization.

102211011101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30973033695 (or 30973033688 counting only the distinct ones).

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

Adding to 102211011101100 its reverse (1101110112201), we get a palindrome (103312121213301).

The spelling of 102211011101100 in words is "one hundred two trillion, two hundred eleven billion, eleven million, one hundred one thousand, one hundred".