100201102110000 has 400 divisors, whose sum is σ = 359471912166400. Its totient is φ = 26715155616000.

The previous prime is 100201102109989. The next prime is 100201102110007. The reversal of 100201102110000 is 11201102001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (100201102110007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1524657141 + ... + 1524722859.

It is an arithmetic number, because the mean of its divisors is an integer number (898679780416).

Almost surely, 2^{100201102110000} is an apocalyptic number.

100201102110000 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 100201102110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179735956083200).

100201102110000 is an abundant number, since it is smaller than the sum of its proper divisors (259270810056400).

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

100201102110000 is an equidigital number, since it uses as much as digits as its factorization.

100201102110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71403 (or 71376 counting only the distinct ones).

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

Adding to 100201102110000 its reverse (11201102001), we get a palindrome (100212303212001).

The spelling of 100201102110000 in words is "one hundred trillion, two hundred one billion, one hundred two million, one hundred ten thousand".