10012201202100 has 144 divisors (see below), whose sum is σ = 29238492852800. Its totient is φ = 2645055544320.

The previous prime is 10012201202027. The next prime is 10012201202111. The reversal of 10012201202100 is 120210221001.

It is a super-2 number, since 2×10012201202100² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 296474016 + ... + 296507784.

Almost surely, 2^{10012201202100} is an apocalyptic number.

10012201202100 is a gapful number since it is divisible by the number (10) 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 10012201202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619246426400).

10012201202100 is an abundant number, since it is smaller than the sum of its proper divisors (19226291650700).

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

10012201202100 is a wasteful number, since it uses less digits than its factorization.

10012201202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42962 (or 42955 counting only the distinct ones).

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

Adding to 10012201202100 its reverse (120210221001), we get a palindrome (10132411423101).

The spelling of 10012201202100 in words is "ten trillion, twelve billion, two hundred one million, two hundred two thousand, one hundred".