101212019737957 has 2 divisors, whose sum is σ = 101212019737958. Its totient is φ = 101212019737956.

The previous prime is 101212019737951. The next prime is 101212019737963. The reversal of 101212019737957 is 759737910212101.

It is a balanced prime because it is at equal distance from previous prime (101212019737951) and next prime (101212019737963).

It can be written as a sum of positive squares in only one way, i.e., 85662318095236 + 15549701642721 = 9255394^2 + 3943311^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212019737957 - 2¹⁵ = 101212019705189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101212019737898 and 101212019737907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101212019737951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606009868978 + 50606009868979.

It is an arithmetic number, because the mean of its divisors is an integer number (50606009868979).

Almost surely, 2^{101212019737957} is an apocalyptic number.

It is an amenable number.

101212019737957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212019737957 is an equidigital number, since it uses as much as digits as its factorization.

101212019737957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1666980, while the sum is 55.

The spelling of 101212019737957 in words is "one hundred one trillion, two hundred twelve billion, nineteen million, seven hundred thirty-seven thousand, nine hundred fifty-seven".