102010002210000 has 200 divisors, whose sum is σ = 365890988154560. Its totient is φ = 27202667184000.

The previous prime is 102010002209989. The next prime is 102010002210001. The reversal of 102010002210000 is 12200010201.

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 (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010002210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188637412 + ... + 189177411.

Almost surely, 2^{102010002210000} is an apocalyptic number.

102010002210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010002210000 is an abundant number, since it is smaller than the sum of its proper divisors (263880985944560).

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

102010002210000 is an equidigital number, since it uses as much as digits as its factorization.

102010002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377814860 (or 377814833 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102010002210000 its reverse (12200010201), we get a palindrome (102022202220201).

The spelling of 102010002210000 in words is "one hundred two trillion, ten billion, two million, two hundred ten thousand".