1000122112101 has 128 divisors (see below), whose sum is σ = 1628135424000. Its totient is φ = 545474381760.

The previous prime is 1000122112021. The next prime is 1000122112133. The reversal of 1000122112101 is 1012112210001.

It is not a de Polignac number, because 1000122112101 - 2³³ = 991532177509 is a prime.

It is a super-2 number, since 2×1000122112101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000122113101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288800496 + ... + 288803958.

It is an arithmetic number, because the mean of its divisors is an integer number (12719808000).

Almost surely, 2^{1000122112101} is an apocalyptic number.

It is an amenable number.

1000122112101 is a deficient number, since it is larger than the sum of its proper divisors (628013311899).

1000122112101 is an equidigital number, since it uses as much as digits as its factorization.

1000122112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3670 counting only the distinct ones).

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

Adding to 1000122112101 its reverse (1012112210001), we get a palindrome (2012234322102).

The spelling of 1000122112101 in words is "one trillion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".