201000210020100 has 108 divisors (see below), whose sum is σ = 630237061858404. Its totient is φ = 53581928797440.

The previous prime is 201000210020063. The next prime is 201000210020101. The reversal of 201000210020100 is 1020012000102.

It can be written as a sum of positive squares in 6 ways, for example, as 26736924442176 + 174263285577924 = 5170776^2 + 13200882^2 .

It is a super-3 number, since 3×201000210020100³ (a number of 44 digits) contains 333 as substring.

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 (201000210020101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35102239 + ... + 40424838.

Almost surely, 2^{201000210020100} is an apocalyptic number.

201000210020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000210020100 is an abundant number, since it is smaller than the sum of its proper divisors (429236851838304).

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

201000210020100 is a wasteful number, since it uses less digits than its factorization.

201000210020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75530054 (or 75530044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201000210020100 its reverse (1020012000102), we get a palindrome (202020222020202).

The spelling of 201000210020100 in words is "two hundred one trillion, two hundred ten million, twenty thousand, one hundred".