10121202211122 has 24 divisors (see below), whose sum is σ = 22521954471276. Its totient is φ = 3282552068256.

The previous prime is 10121202211093. The next prime is 10121202211207. The reversal of 10121202211122 is 22111220212101.

10121202211122 is a `hidden beast` number, since 10 + 121 + 202 + 211 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8021192573241 + 2100009637881 = 2832171^2 + 1449141^2 .

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 = 10121202211095 and 10121202211104.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7598499493 + ... + 7598500824.

Almost surely, 2^{10121202211122} is an apocalyptic number.

10121202211122 is an abundant number, since it is smaller than the sum of its proper divisors (12400752260154).

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

10121202211122 is a wasteful number, since it uses less digits than its factorization.

10121202211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15197000362 (or 15197000359 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10121202211122 its reverse (22111220212101), we get a palindrome (32232422423223).

The spelling of 10121202211122 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, two hundred eleven thousand, one hundred twenty-two".