101211012021109 has 2 divisors, whose sum is σ = 101211012021110. Its totient is φ = 101211012021108.

The previous prime is 101211012021079. The next prime is 101211012021193. The reversal of 101211012021109 is 901120210112101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100755481516209 + 455530504900 = 10037703^2 + 674930^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211012021109 - 2⁷ = 101211012020981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101211012021109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211012091109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605506010554 + 50605506010555.

It is an arithmetic number, because the mean of its divisors is an integer number (50605506010555).

Almost surely, 2^{101211012021109} is an apocalyptic number.

It is an amenable number.

101211012021109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211012021109 is an equidigital number, since it uses as much as digits as its factorization.

101211012021109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 101211012021109 in words is "one hundred one trillion, two hundred eleven billion, twelve million, twenty-one thousand, one hundred nine".