210201121111122 has 96 divisors (see below), whose sum is σ = 487737428044464. Its totient is φ = 65193739776000.

The previous prime is 210201121111099. The next prime is 210201121111123. The reversal of 210201121111122 is 221111121102012.

It is a happy number.

210201121111122 is a `hidden beast` number, since 210 + 201 + 1 + 21 + 111 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 206136054638721 + 4065066472401 = 14357439^2 + 2016201^2 .

It is a super-2 number, since 2×210201121111122² (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 a junction number, because it is equal to n+sod(n) for n = 210201121111095 and 210201121111104.

It is not an unprimeable number, because it can be changed into a prime (210201121111123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15284158 + ... + 25573574.

Almost surely, 2^{210201121111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210201121111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243868714022232).

210201121111122 is an abundant number, since it is smaller than the sum of its proper divisors (277536306933342).

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

210201121111122 is a wasteful number, since it uses less digits than its factorization.

210201121111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10290204 (or 10290201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 210201121111122 its reverse (221111121102012), we get a palindrome (431312242213134).

The spelling of 210201121111122 in words is "two hundred ten trillion, two hundred one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-two".