100101013121 has 4 divisors (see below), whose sum is σ = 100123649472. Its totient is φ = 100078376772.

The previous prime is 100101013097. The next prime is 100101013139. The reversal of 100101013121 is 121310101001.

It is a happy number.

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: 121310101001 = 1697 ⋅71485033.

It is a cyclic number.

It is not a de Polignac number, because 100101013121 - 2²² = 100096818817 is a prime.

It is a super-2 number, since 2×100101013121² (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 (100101013321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11311541 + ... + 11320386.

It is an arithmetic number, because the mean of its divisors is an integer number (25030912368).

Almost surely, 2^100101013121 is an apocalyptic number.

It is an amenable number.

100101013121 is a deficient number, since it is larger than the sum of its proper divisors (22636351).

100101013121 is an equidigital number, since it uses as much as digits as its factorization.

100101013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22636350.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100101013121 its reverse (121310101001), we get a palindrome (221411114122).

The spelling of 100101013121 in words is "one hundred billion, one hundred one million, thirteen thousand, one hundred twenty-one".