101012212057 has 2 divisors, whose sum is σ = 101012212058. Its totient is φ = 101012212056.

The previous prime is 101012212039. The next prime is 101012212111. The reversal of 101012212057 is 750212210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100499144256 + 513067801 = 317016^2 + 22651^2 .

It is an emirp because it is prime and its reverse (750212210101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012212057 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012212027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506106028 + 50506106029.

It is an arithmetic number, because the mean of its divisors is an integer number (50506106029).

Almost surely, 2^101012212057 is an apocalyptic number.

It is an amenable number.

101012212057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012212057 is an equidigital number, since it uses as much as digits as its factorization.

101012212057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 22.

Adding to 101012212057 its reverse (750212210101), we get a palindrome (851224422158).

The spelling of 101012212057 in words is "one hundred one billion, twelve million, two hundred twelve thousand, fifty-seven".