20011032323100 has 1152 divisors, whose sum is σ = 81948888268800. Its totient is φ = 4076465356800.

The previous prime is 20011032323017. The next prime is 20011032323101. The reversal of 20011032323100 is 132323011002.

20011032323100 is a `hidden beast` number, since 2 + 0 + 0 + 110 + 323 + 231 + 0 + 0 = 666.

It is a super-2 number, since 2×20011032323100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011032323101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 977138661 + ... + 977159139.

Almost surely, 2^{20011032323100} is an apocalyptic number.

20011032323100 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 20011032323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40974444134400).

20011032323100 is an abundant number, since it is smaller than the sum of its proper divisors (61937855945700).

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

20011032323100 is a wasteful number, since it uses less digits than its factorization.

20011032323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20660 (or 20647 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20011032323100 its reverse (132323011002), we get a palindrome (20143355334102).

The spelling of 20011032323100 in words is "twenty trillion, eleven billion, thirty-two million, three hundred twenty-three thousand, one hundred".