10120010112122 has 32 divisors (see below), whose sum is σ = 15370535754000. Its totient is φ = 4996768435200.

The previous prime is 10120010112077. The next prime is 10120010112127. The reversal of 10120010112122 is 22121101002101.

It can be written as a sum of positive squares in 8 ways, for example, as 6218045947201 + 3901964164921 = 2493601^2 + 1975339^2 .

It is a super-2 number, since 2×10120010112122² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120010112097 and 10120010112106.

It is not an unprimeable number, because it can be changed into a prime (10120010112127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309001004 + ... + 309033752.

Almost surely, 2^{10120010112122} is an apocalyptic number.

10120010112122 is a deficient number, since it is larger than the sum of its proper divisors (5250525641878).

10120010112122 is a wasteful number, since it uses less digits than its factorization.

10120010112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36818.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120010112122 its reverse (22121101002101), we get a palindrome (32241111114223).

The spelling of 10120010112122 in words is "ten trillion, one hundred twenty billion, ten million, one hundred twelve thousand, one hundred twenty-two".