102100201110000 has 1000 divisors, whose sum is σ = 382908450698400. Its totient is φ = 26225337600000.

The previous prime is 102100201109923. The next prime is 102100201110049. The reversal of 102100201110000 is 11102001201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 10312105050 + ... + 10312114950.

Almost surely, 2^{102100201110000} is an apocalyptic number.

102100201110000 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 102100201110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191454225349200).

102100201110000 is an abundant number, since it is smaller than the sum of its proper divisors (280808249588400).

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

102100201110000 is an equidigital number, since it uses as much as digits as its factorization.

102100201110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10409 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100201110000 its reverse (11102001201), we get a palindrome (102111303111201).

The spelling of 102100201110000 in words is "one hundred two trillion, one hundred billion, two hundred one million, one hundred ten thousand".