201001100210000 has 200 divisors, whose sum is σ = 537672915641664. Its totient is φ = 72380957440000.

The previous prime is 201001100209991. The next prime is 201001100210003. The reversal of 201001100210000 is 12001100102.

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 201001100210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001100210003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21793466 + ... + 29613465.

Almost surely, 2^{201001100210000} is an apocalyptic number.

201001100210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001100210000 is an abundant number, since it is smaller than the sum of its proper divisors (336671815431664).

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

201001100210000 is a wasteful number, since it uses less digits than its factorization.

201001100210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51406999 (or 51406978 counting only the distinct ones).

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

Adding to 201001100210000 its reverse (12001100102), we get a palindrome (201013101310102).

The spelling of 201001100210000 in words is "two hundred one trillion, one billion, one hundred million, two hundred ten thousand".