102101220100000 has 144 divisors (see below), whose sum is σ = 274089428841312. Its totient is φ = 37127716000000.

The previous prime is 102101220099997. The next prime is 102101220100001. The reversal of 102101220100000 is 1022101201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 102101220100000.

It is not an unprimeable number, because it can be changed into a prime (102101220100001) 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 23 ways as a sum of consecutive naturals, for example, 45309646 + ... + 47509645.

It is an arithmetic number, because the mean of its divisors is an integer number (1903398811398).

Almost surely, 2^{102101220100000} is an apocalyptic number.

102101220100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101220100000 is an abundant number, since it is smaller than the sum of its proper divisors (171988208741312).

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

102101220100000 is an frugal number, since it uses more digits than its factorization.

102101220100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92819337 (or 92819309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101220100000 its reverse (1022101201), we get a palindrome (102102242201201).

The spelling of 102101220100000 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, one hundred thousand".