102101221210000 has 100 divisors (see below), whose sum is σ = 247609964448000. Its totient is φ = 40772304976000.

The previous prime is 102101221209971. The next prime is 102101221210081. The reversal of 102101221210000 is 12122101201.

It is a tau number, because it is divible by the number of its divisors (100).

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, 2532640 + ... + 14512639.

It is an arithmetic number, because the mean of its divisors is an integer number (2476099644480).

Almost surely, 2^{102101221210000} is an apocalyptic number.

102101221210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101221210000 is an abundant number, since it is smaller than the sum of its proper divisors (145508743238000).

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

102101221210000 is an equidigital number, since it uses as much as digits as its factorization.

102101221210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17045906 (or 17045885 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101221210000 its reverse (12122101201), we get a palindrome (102113343311201).

The spelling of 102101221210000 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, two hundred ten thousand".