10220101213122 has 48 divisors (see below), whose sum is σ = 22967195759352. Its totient is φ = 3281809305600.

The previous prime is 10220101213121. The next prime is 10220101213181. The reversal of 10220101213122 is 22131210102201.

10220101213122 is a `hidden beast` number, since 1 + 0 + 220 + 10 + 121 + 312 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9216439867881 + 1003661345241 = 3035859^2 + 1001829^2 .

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 = 10220101213095 and 10220101213104.

It is not an unprimeable number, because it can be changed into a prime (10220101213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75900543 + ... + 76035074.

Almost surely, 2^{10220101213122} is an apocalyptic number.

10220101213122 is an abundant number, since it is smaller than the sum of its proper divisors (12747094546230).

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

10220101213122 is a wasteful number, since it uses less digits than its factorization.

10220101213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151935763 (or 151935760 counting only the distinct ones).

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

Adding to 10220101213122 its reverse (22131210102201), we get a palindrome (32351311315323).

The spelling of 10220101213122 in words is "ten trillion, two hundred twenty billion, one hundred one million, two hundred thirteen thousand, one hundred twenty-two".