20213202042100 has 72 divisors (see below), whose sum is σ = 44276289761088. Its totient is φ = 8009046240000.

The previous prime is 20213202042073. The next prime is 20213202042133. The reversal of 20213202042100 is 124020231202.

It is a super-2 number, since 2×20213202042100² (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 23 ways as a sum of consecutive naturals, for example, 139038049 + ... + 139183351.

It is an arithmetic number, because the mean of its divisors is an integer number (614948468904).

Almost surely, 2^{20213202042100} is an apocalyptic number.

20213202042100 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 20213202042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138144880544).

20213202042100 is an abundant number, since it is smaller than the sum of its proper divisors (24063087718988).

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

20213202042100 is a wasteful number, since it uses less digits than its factorization.

20213202042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158425 (or 158418 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20213202042100 its reverse (124020231202), we get a palindrome (20337222273302).

The spelling of 20213202042100 in words is "twenty trillion, two hundred thirteen billion, two hundred two million, forty-two thousand, one hundred".