10100001211122 has 64 divisors (see below), whose sum is σ = 21003603102720. Its totient is φ = 3235134836736.

The previous prime is 10100001211103. The next prime is 10100001211123. The reversal of 10100001211122 is 22111210000101.

It is a junction number, because it is equal to n+sod(n) for n = 10100001211098 and 10100001211107.

It is not an unprimeable number, because it can be changed into a prime (10100001211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9825198 + ... + 10804374.

It is an arithmetic number, because the mean of its divisors is an integer number (328181298480).

Almost surely, 2^{10100001211122} is an apocalyptic number.

10100001211122 is an abundant number, since it is smaller than the sum of its proper divisors (10903601891598).

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

10100001211122 is a wasteful number, since it uses less digits than its factorization.

10100001211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979795.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100001211122 its reverse (22111210000101), we get a palindrome (32211211211223).

The spelling of 10100001211122 in words is "ten trillion, one hundred billion, one million, two hundred eleven thousand, one hundred twenty-two".