21020122232100 has 648 divisors, whose sum is σ = 70443333291240. Its totient is φ = 5238950400000.

The previous prime is 21020122232027. The next prime is 21020122232129. The reversal of 21020122232100 is 123222102012.

21020122232100 is a `hidden beast` number, since 210 + 2 + 0 + 122 + 232 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9950075331876 + 11070046900224 = 3154374^2 + 3327168^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3581547966 + ... + 3581553834.

Almost surely, 2^{21020122232100} is an apocalyptic number.

21020122232100 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 21020122232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35221666645620).

21020122232100 is an abundant number, since it is smaller than the sum of its proper divisors (49423211059140).

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

21020122232100 is a wasteful number, since it uses less digits than its factorization.

21020122232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6052 counting only the distinct ones).

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

Adding to 21020122232100 its reverse (123222102012), we get a palindrome (21143344334112).

The spelling of 21020122232100 in words is "twenty-one trillion, twenty billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred".