102101202210000 has 200 divisors, whose sum is σ = 376681479891904. Its totient is φ = 23337417600000.

The previous prime is 102101202209987. The next prime is 102101202210013. The reversal of 102101202210000 is 12202101201.

It is an interprime number because it is at equal distance from previous prime (102101202209987) and next prime (102101202210013).

It is a tau number, because it is divible by the number of its divisors (200).

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

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 39 ways as a sum of consecutive naturals, for example, 242888101 + ... + 243308100.

Almost surely, 2^{102101202210000} is an apocalyptic number.

102101202210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101202210000 is an abundant number, since it is smaller than the sum of its proper divisors (274580277681904).

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

102101202210000 is an equidigital number, since it uses as much as digits as its factorization.

102101202210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486196239 (or 486196218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101202210000 its reverse (12202101201), we get a palindrome (102113404311201).

The spelling of 102101202210000 in words is "one hundred two trillion, one hundred one billion, two hundred two million, two hundred ten thousand".