10112101002122 has 16 divisors (see below), whose sum is σ = 17358874915200. Its totient is φ = 4327796415888.

The previous prime is 10112101002041. The next prime is 10112101002127. The reversal of 10112101002122 is 22120010121101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10112101002097 and 10112101002106.

It is not an unprimeable number, because it can be changed into a prime (10112101002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496752497 + ... + 496772852.

It is an arithmetic number, because the mean of its divisors is an integer number (1084929682200).

Almost surely, 2^{10112101002122} is an apocalyptic number.

10112101002122 is a deficient number, since it is larger than the sum of its proper divisors (7246773913078).

10112101002122 is an equidigital number, since it uses as much as digits as its factorization.

10112101002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993526085.

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

Adding to 10112101002122 its reverse (22120010121101), we get a palindrome (32232111123223).

The spelling of 10112101002122 in words is "ten trillion, one hundred twelve billion, one hundred one million, two thousand, one hundred twenty-two".