201021222122100 has 432 divisors, whose sum is σ = 653779299613440. Its totient is φ = 51620658739200.

The previous prime is 201021222122069. The next prime is 201021222122141. The reversal of 201021222122100 is 1221222120102.

It is a happy number.

201021222122100 is a `hidden beast` number, since 2 + 0 + 10 + 212 + 221 + 221 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 6280130896 + ... + 6280162904.

Almost surely, 2^{201021222122100} is an apocalyptic number.

201021222122100 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 201021222122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326889649806720).

201021222122100 is an abundant number, since it is smaller than the sum of its proper divisors (452758077491340).

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

201021222122100 is a wasteful number, since it uses less digits than its factorization.

201021222122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34000 (or 33990 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201021222122100 its reverse (1221222120102), we get a palindrome (202242444242202).

The spelling of 201021222122100 in words is "two hundred one trillion, twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".