102101221101100 has 36 divisors (see below), whose sum is σ = 238602699776224. Its totient is φ = 37698912406080.

The previous prime is 102101221101071. The next prime is 102101221101101. The reversal of 102101221101100 is 1101122101201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (102101221101101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39269699124 + ... + 39269701723.

Almost surely, 2^{102101221101100} is an apocalyptic number.

102101221101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101221101100 is an abundant number, since it is smaller than the sum of its proper divisors (136501478675124).

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

102101221101100 is a wasteful number, since it uses less digits than its factorization.

102101221101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78539400874 (or 78539400867 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101221101100 its reverse (1101122101201), we get a palindrome (103202343202301).

The spelling of 102101221101100 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, one hundred one thousand, one hundred".