201142002100 has 36 divisors (see below), whose sum is σ = 470053389484. Its totient is φ = 74267815680.

The previous prime is 201142002079. The next prime is 201142002107. The reversal of 201142002100 is 1200241102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 31335372324 + 169806629776 = 177018^2 + 412076^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201142002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77361009 + ... + 77363608.

Almost surely, 2^201142002100 is an apocalyptic number.

201142002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201142002100 is an abundant number, since it is smaller than the sum of its proper divisors (268911387384).

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

201142002100 is a wasteful number, since it uses less digits than its factorization.

201142002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154724644 (or 154724637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201142002100 its reverse (1200241102), we get a palindrome (202342243202).

The spelling of 201142002100 in words is "two hundred one billion, one hundred forty-two million, two thousand, one hundred".