102213311020000 has 120 divisors (see below), whose sum is σ = 254643119992800. Its totient is φ = 40367788032000.

The previous prime is 102213311019991. The next prime is 102213311020043. The reversal of 102213311020000 is 20113312201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 30765985 + ... + 33925984.

It is an arithmetic number, because the mean of its divisors is an integer number (2122025999940).

Almost surely, 2^{102213311020000} is an apocalyptic number.

102213311020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213311020000 is an abundant number, since it is smaller than the sum of its proper divisors (152429808972800).

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

102213311020000 is an frugal number, since it uses more digits than its factorization.

102213311020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64692078 (or 64692055 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102213311020000 its reverse (20113312201), we get a palindrome (102233424332201).

The spelling of 102213311020000 in words is "one hundred two trillion, two hundred thirteen billion, three hundred eleven million, twenty thousand".