102201002110000 has 200 divisors, whose sum is σ = 249947295550128. Its totient is φ = 40466160000000.

The previous prime is 102201002109971. The next prime is 102201002110043. The reversal of 102201002110000 is 11200102201.

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 (10).

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, 5636800935 + ... + 5636819065.

Almost surely, 2^{102201002110000} is an apocalyptic number.

102201002110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124973647775064).

102201002110000 is an abundant number, since it is smaller than the sum of its proper divisors (147746293440128).

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

102201002110000 is a wasteful number, since it uses less digits than its factorization.

102201002110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23841 (or 23820 counting only the distinct ones).

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

Adding to 102201002110000 its reverse (11200102201), we get a palindrome (102212202212201).

The spelling of 102201002110000 in words is "one hundred two trillion, two hundred one billion, two million, one hundred ten thousand".