102011002210000 has 100 divisors (see below), whose sum is σ = 265977209901172. Its totient is φ = 37665600768000.

The previous prime is 102011002209967. The next prime is 102011002210021. The reversal of 102011002210000 is 12200110201.

It can be written as a sum of positive squares in 10 ways, for example, as 74274474373696 + 27736527836304 = 8618264^2 + 5266548^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 392220009 + ... + 392480008.

Almost surely, 2^{102011002210000} is an apocalyptic number.

102011002210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011002210000 is an abundant number, since it is smaller than the sum of its proper divisors (163966207691172).

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

102011002210000 is an equidigital number, since it uses as much as digits as its factorization.

102011002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784700058 (or 784700037 counting only the distinct ones).

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

Adding to 102011002210000 its reverse (12200110201), we get a palindrome (102023202320201).

The spelling of 102011002210000 in words is "one hundred two trillion, eleven billion, two million, two hundred ten thousand".