101212211011993 has 2 divisors, whose sum is σ = 101212211011994. Its totient is φ = 101212211011992.

The previous prime is 101212211011979. The next prime is 101212211012039. The reversal of 101212211011993 is 399110112212101.

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., 98514299640969 + 2697911371024 = 9925437^2 + 1642532^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212211011993 - 2¹³ = 101212211003801 is a prime.

It is not a weakly prime, because it can be changed into another prime (101212211011943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606105505996 + 50606105505997.

It is an arithmetic number, because the mean of its divisors is an integer number (50606105505997).

Almost surely, 2^{101212211011993} is an apocalyptic number.

It is an amenable number.

101212211011993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212211011993 is an equidigital number, since it uses as much as digits as its factorization.

101212211011993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 34.

The spelling of 101212211011993 in words is "one hundred one trillion, two hundred twelve billion, two hundred eleven million, eleven thousand, nine hundred ninety-three".