201021213122010 has 128 divisors (see below), whose sum is σ = 561901611237120. Its totient is φ = 51081964416000.

The previous prime is 201021213121999. The next prime is 201021213122033. The reversal of 201021213122010 is 10221312120102.

201021213122010 is a `hidden beast` number, since 20 + 10 + 2 + 121 + 312 + 201 + 0 = 666.

201021213122010 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201021213122010² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 210676291 + ... + 211628310.

It is an arithmetic number, because the mean of its divisors is an integer number (4389856337790).

Almost surely, 2^{201021213122010} is an apocalyptic number.

201021213122010 is an abundant number, since it is smaller than the sum of its proper divisors (360880398115110).

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

201021213122010 is a wasteful number, since it uses less digits than its factorization.

201021213122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422304701 (or 422304695 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201021213122010 its reverse (10221312120102), we get a palindrome (211242525242112).

The spelling of 201021213122010 in words is "two hundred one trillion, twenty-one billion, two hundred thirteen million, one hundred twenty-two thousand, ten".