101110012121 has 4 divisors (see below), whose sum is σ = 102823741200. Its totient is φ = 99396283044.

The previous prime is 101110012103. The next prime is 101110012127. The reversal of 101110012121 is 121210011101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 121210011101 = 17 ⋅7130000653.

It is a cyclic number.

It is not a de Polignac number, because 101110012121 - 2¹⁸ = 101109749977 is a prime.

It is a super-2 number, since 2×101110012121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110012127) 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 3 ways as a sum of consecutive naturals, for example, 856864451 + ... + 856864568.

It is an arithmetic number, because the mean of its divisors is an integer number (25705935300).

Almost surely, 2^101110012121 is an apocalyptic number.

It is an amenable number.

101110012121 is a deficient number, since it is larger than the sum of its proper divisors (1713729079).

101110012121 is an equidigital number, since it uses as much as digits as its factorization.

101110012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713729078.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101110012121 its reverse (121210011101), we get a palindrome (222320023222).

The spelling of 101110012121 in words is "one hundred one billion, one hundred ten million, twelve thousand, one hundred twenty-one".