101021257 has 2 divisors, whose sum is σ = 101021258. Its totient is φ = 101021256.

The previous prime is 101021251. The next prime is 101021273. The reversal of 101021257 is 752120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95726656 + 5294601 = 9784^2 + 2301^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021257 - 2¹⁹ = 100496969 is a prime.

It is not a weakly prime, because it can be changed into another prime (101021251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510628 + 50510629.

It is an arithmetic number, because the mean of its divisors is an integer number (50510629).

Almost surely, 2^101021257 is an apocalyptic number.

It is an amenable number.

101021257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021257 is an equidigital number, since it uses as much as digits as its factorization.

101021257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 101021257 is about 10050.9331407586. The cubic root of 101021257 is about 465.7336197926.

Adding to 101021257 its reverse (752120101), we get a palindrome (853141358).

The spelling of 101021257 in words is "one hundred one million, twenty-one thousand, two hundred fifty-seven".