101200099858057 has 2 divisors, whose sum is σ = 101200099858058. Its totient is φ = 101200099858056.

The previous prime is 101200099858031. The next prime is 101200099858061. The reversal of 101200099858057 is 750858990002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68786935976521 + 32413163881536 = 8293789^2 + 5693256^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200099858057 - 2²⁷ = 101199965640329 is a prime.

It is a super-3 number, since 3×101200099858057³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101200099857989 and 101200099858007.

It is not a weakly prime, because it can be changed into another prime (101200099858027) 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 as a sum of consecutive naturals, namely, 50600049929028 + 50600049929029.

It is an arithmetic number, because the mean of its divisors is an integer number (50600049929029).

Almost surely, 2^{101200099858057} is an apocalyptic number.

It is an amenable number.

101200099858057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200099858057 is an equidigital number, since it uses as much as digits as its factorization.

101200099858057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 55.

The spelling of 101200099858057 in words is "one hundred one trillion, two hundred billion, ninety-nine million, eight hundred fifty-eight thousand, fifty-seven".