20100032242100 has 144 divisors (see below), whose sum is σ = 44219984739840. Its totient is φ = 7929369676800.

The previous prime is 20100032242093. The next prime is 20100032242127. The reversal of 20100032242100 is 124223000102.

It is a super-2 number, since 2×20100032242100² (a number of 27 digits) contains 22 as substring.

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, 8586086930 + ... + 8586089270.

It is an arithmetic number, because the mean of its divisors is an integer number (307083227360).

Almost surely, 2^{20100032242100} is an apocalyptic number.

20100032242100 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 20100032242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109992369920).

20100032242100 is an abundant number, since it is smaller than the sum of its proper divisors (24119952497740).

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

20100032242100 is a wasteful number, since it uses less digits than its factorization.

20100032242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4498 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20100032242100 its reverse (124223000102), we get a palindrome (20224255242202).

The spelling of 20100032242100 in words is "twenty trillion, one hundred billion, thirty-two million, two hundred forty-two thousand, one hundred".