201202110100 has 72 divisors (see below), whose sum is σ = 441166122936. Its totient is φ = 79641600000.

The previous prime is 201202110047. The next prime is 201202110103. The reversal of 201202110100 is 1011202102.

It can be written as a sum of positive squares in 12 ways, for example, as 53570954116 + 147631155984 = 231454^2 + 384228^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24650020 + ... + 24658180.

It is an arithmetic number, because the mean of its divisors is an integer number (6127307263).

Almost surely, 2^201202110100 is an apocalyptic number.

201202110100 is a gapful number since it is divisible by the number (20) 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 201202110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220583061468).

201202110100 is an abundant number, since it is smaller than the sum of its proper divisors (239964012836).

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

201202110100 is a wasteful number, since it uses less digits than its factorization.

201202110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10717 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201202110100 its reverse (1011202102), we get a palindrome (202213312202).

The spelling of 201202110100 in words is "two hundred one billion, two hundred two million, one hundred ten thousand, one hundred".