100201010210000 has 400 divisors, whose sum is σ = 280959849168768. Its totient is φ = 33897696000000.

The previous prime is 100201010209939. The next prime is 100201010210003. The reversal of 100201010210000 is 12010102001.

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100201010210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201010210003) 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, 2071485815 + ... + 2071534185.

Almost surely, 2^{100201010210000} is an apocalyptic number.

100201010210000 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 100201010210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140479924584384).

100201010210000 is an abundant number, since it is smaller than the sum of its proper divisors (180758838958768).

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

100201010210000 is a wasteful number, since it uses less digits than its factorization.

100201010210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48800 (or 48779 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100201010210000 its reverse (12010102001), we get a palindrome (100213020312001).

The spelling of 100201010210000 in words is "one hundred trillion, two hundred one billion, ten million, two hundred ten thousand".