101012212222057 has 2 divisors, whose sum is σ = 101012212222058. Its totient is φ = 101012212222056.

The previous prime is 101012212222049. The next prime is 101012212222067. The reversal of 101012212222057 is 750222212210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78329243845161 + 22682968376896 = 8850381^2 + 4762664^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012212222057 - 2³ = 101012212222049 is a prime.

It is a super-2 number, since 2×101012212222057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101012212222037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506106111028 + 50506106111029.

It is an arithmetic number, because the mean of its divisors is an integer number (50506106111029).

Almost surely, 2^{101012212222057} is an apocalyptic number.

It is an amenable number.

101012212222057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012212222057 is an equidigital number, since it uses as much as digits as its factorization.

101012212222057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 28.

Adding to 101012212222057 its reverse (750222212210101), we get a palindrome (851234424432158).

The spelling of 101012212222057 in words is "one hundred one trillion, twelve billion, two hundred twelve million, two hundred twenty-two thousand, fifty-seven".