101211100113 has 4 divisors (see below), whose sum is σ = 134948133488. Its totient is φ = 67474066740.

The previous prime is 101211100087. The next prime is 101211100157. The reversal of 101211100113 is 311001112101.

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: 311001112101 = 3 ⋅103667037367.

It is not a de Polignac number, because 101211100113 - 2⁶ = 101211100049 is a prime.

It is a super-2 number, since 2×101211100113² (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 (101211100183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16868516683 + ... + 16868516688.

It is an arithmetic number, because the mean of its divisors is an integer number (33737033372).

Almost surely, 2^101211100113 is an apocalyptic number.

It is an amenable number.

101211100113 is a deficient number, since it is larger than the sum of its proper divisors (33737033375).

101211100113 is an equidigital number, since it uses as much as digits as its factorization.

101211100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33737033374.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101211100113 its reverse (311001112101), we get a palindrome (412212212214).

The spelling of 101211100113 in words is "one hundred one billion, two hundred eleven million, one hundred thousand, one hundred thirteen".