201002021102100 has 72 divisors (see below), whose sum is σ = 582269071956768. Its totient is φ = 53535725667200.

The previous prime is 201002021102089. The next prime is 201002021102143. The reversal of 201002021102100 is 1201120200102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404834571 + ... + 405330770.

It is an arithmetic number, because the mean of its divisors is an integer number (8087070443844).

Almost surely, 2^{201002021102100} is an apocalyptic number.

201002021102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002021102100 is an abundant number, since it is smaller than the sum of its proper divisors (381267050854668).

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

201002021102100 is a wasteful number, since it uses less digits than its factorization.

201002021102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810166185 (or 810166178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201002021102100 its reverse (1201120200102), we get a palindrome (202203141302202).

The spelling of 201002021102100 in words is "two hundred one trillion, two billion, twenty-one million, one hundred two thousand, one hundred".