101211312109 has 2 divisors, whose sum is σ = 101211312110. Its totient is φ = 101211312108.

The previous prime is 101211312107. The next prime is 101211312119. The reversal of 101211312109 is 901213112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56268584100 + 44942728009 = 237210^2 + 211997^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211312109 - 2¹ = 101211312107 is a prime.

Together with 101211312107, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101211312109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211312107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605656054 + 50605656055.

It is an arithmetic number, because the mean of its divisors is an integer number (50605656055).

Almost surely, 2^101211312109 is an apocalyptic number.

It is an amenable number.

101211312109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211312109 is an equidigital number, since it uses as much as digits as its factorization.

101211312109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 101211312109 in words is "one hundred one billion, two hundred eleven million, three hundred twelve thousand, one hundred nine".