20102122322100 has 864 divisors, whose sum is σ = 79713324687360. Its totient is φ = 4123181076480.

The previous prime is 20102122322059. The next prime is 20102122322153. The reversal of 20102122322100 is 122322120102.

20102122322100 is a `hidden beast` number, since 2 + 0 + 10 + 212 + 232 + 210 + 0 = 666.

It is a super-2 number, since 2×20102122322100² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5039386906 + ... + 5039390894.

Almost surely, 2^{20102122322100} is an apocalyptic number.

20102122322100 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 20102122322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39856662343680).

20102122322100 is an abundant number, since it is smaller than the sum of its proper divisors (59611202365260).

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

20102122322100 is a wasteful number, since it uses less digits than its factorization.

20102122322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20102122322100 its reverse (122322120102), we get a palindrome (20224444442202).

The spelling of 20102122322100 in words is "twenty trillion, one hundred two billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred".