101010112121 has 4 divisors (see below), whose sum is σ = 101011867044. Its totient is φ = 101008357200.

The previous prime is 101010112013. The next prime is 101010112139. The reversal of 101010112121 is 121211010101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 121211010101 = 3049 ⋅39754349.

It can be written as a sum of positive squares in 2 ways, for example, as 67826389225 + 33183722896 = 260435^2 + 182164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010112121 is a prime.

It is a super-2 number, since 2×101010112121² (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 (101010112421) 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 3 ways as a sum of consecutive naturals, for example, 788090 + ... + 907251.

It is an arithmetic number, because the mean of its divisors is an integer number (25252966761).

Almost surely, 2^101010112121 is an apocalyptic number.

It is an amenable number.

101010112121 is a deficient number, since it is larger than the sum of its proper divisors (1754923).

101010112121 is an equidigital number, since it uses as much as digits as its factorization.

101010112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754922.

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

Adding to 101010112121 its reverse (121211010101), we get a palindrome (222221122222).

It can be divided in two parts, 1010101 and 12121, that multiplied together give a palindrome (12243434221).

The spelling of 101010112121 in words is "one hundred one billion, ten million, one hundred twelve thousand, one hundred twenty-one".