201202121000100 has 144 divisors (see below), whose sum is σ = 636329622297600. Its totient is φ = 48679300636800.

The previous prime is 201202121000081. The next prime is 201202121000123. The reversal of 201202121000100 is 1000121202102.

201202121000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58946800 + ... + 62266599.

It is an arithmetic number, because the mean of its divisors is an integer number (4418955710400).

Almost surely, 2^{201202121000100} is an apocalyptic number.

201202121000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202121000100 is an abundant number, since it is smaller than the sum of its proper divisors (435127501297500).

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

201202121000100 is a wasteful number, since it uses less digits than its factorization.

201202121000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121213930 (or 121213923 counting only the distinct ones).

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

Adding to 201202121000100 its reverse (1000121202102), we get a palindrome (202202242202202).

The spelling of 201202121000100 in words is "two hundred one trillion, two hundred two billion, one hundred twenty-one million, one hundred", and thus it is an aban number.