1000122101121 has 64 divisors (see below), whose sum is σ = 1582933201920. Its totient is φ = 553690080000.

The previous prime is 1000122101101. The next prime is 1000122101171. The reversal of 1000122101121 is 1211012210001.

It is not a de Polignac number, because 1000122101121 - 2⁹ = 1000122100609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000122101097 and 1000122101106.

It is not an unprimeable number, because it can be changed into a prime (1000122101101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110007786 + ... + 110016876.

It is an arithmetic number, because the mean of its divisors is an integer number (24733331280).

Almost surely, 2^{1000122101121} is an apocalyptic number.

1000122101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000122101121 is a deficient number, since it is larger than the sum of its proper divisors (582811100799).

1000122101121 is a wasteful number, since it uses less digits than its factorization.

1000122101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11758.

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

Adding to 1000122101121 its reverse (1211012210001), we get a palindrome (2211134311122).

It can be divided in two parts, 10001 and 22101121, that added together give a palindrome (22111122).

The spelling of 1000122101121 in words is "one trillion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".