101211857 has 2 divisors, whose sum is σ = 101211858. Its totient is φ = 101211856.

The previous prime is 101211833. The next prime is 101211881. The reversal of 101211857 is 758112101.

It is a balanced prime because it is at equal distance from previous prime (101211833) and next prime (101211881).

It can be written as a sum of positive squares in only one way, i.e., 100781521 + 430336 = 10039^2 + 656^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211857 - 2¹⁸ = 100949713 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101211757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605928 + 50605929.

It is an arithmetic number, because the mean of its divisors is an integer number (50605929).

Almost surely, 2^101211857 is an apocalyptic number.

It is an amenable number.

101211857 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211857 is an equidigital number, since it uses as much as digits as its factorization.

101211857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 26.

The square root of 101211857 is about 10060.4103793036. The cubic root of 101211857 is about 466.0263405570.

Adding to 101211857 its reverse (758112101), we get a palindrome (859323958).

The spelling of 101211857 in words is "one hundred one million, two hundred eleven thousand, eight hundred fifty-seven".