10202211022122 has 128 divisors (see below), whose sum is σ = 26336217600000. Its totient is φ = 2867395225536.

The previous prime is 10202211022103. The next prime is 10202211022313. The reversal of 10202211022122 is 22122011220201.

It is a happy number.

10202211022122 is a `hidden beast` number, since 10 + 202 + 211 + 0 + 221 + 22 = 666.

10202211022122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10202211022095 and 10202211022104.

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, 4836379 + ... + 6617777.

It is an arithmetic number, because the mean of its divisors is an integer number (205751700000).

Almost surely, 2^{10202211022122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202211022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168108800000).

10202211022122 is an abundant number, since it is smaller than the sum of its proper divisors (16134006577878).

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

10202211022122 is a wasteful number, since it uses less digits than its factorization.

10202211022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781665 (or 1781659 counting only the distinct ones).

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

Adding to 10202211022122 its reverse (22122011220201), we get a palindrome (32324222242323).

The spelling of 10202211022122 in words is "ten trillion, two hundred two billion, two hundred eleven million, twenty-two thousand, one hundred twenty-two".