101112121102001 has 12 divisors (see below), whose sum is σ = 104479705764900. Its totient is φ = 97849795605120.

The previous prime is 101112121101989. The next prime is 101112121102037. The reversal of 101112121102001 is 100201121211101.

It can be written as a sum of positive squares in 2 ways, for example, as 7971864255601 + 93140256846400 = 2823449^2 + 9650920^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101112121102001 is a prime.

It is a super-2 number, since 2×101112121102001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112121105001) 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 11 ways as a sum of consecutive naturals, for example, 215961365 + ... + 216429053.

It is an arithmetic number, because the mean of its divisors is an integer number (8706642147075).

Almost surely, 2^{101112121102001} is an apocalyptic number.

It is an amenable number.

101112121102001 is a deficient number, since it is larger than the sum of its proper divisors (3367584662899).

101112121102001 is an equidigital number, since it uses as much as digits as its factorization.

101112121102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692720 (or 692689 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101112121102001 its reverse (100201121211101), we get a palindrome (201313242313102).

The spelling of 101112121102001 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred two thousand, one".