101026257 has 8 divisors (see below), whose sum is σ = 142625376. Its totient is φ = 63388992.

The previous prime is 101026253. The next prime is 101026267. The reversal of 101026257 is 752620101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101026257 - 2² = 101026253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101026253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 990403 + ... + 990504.

It is an arithmetic number, because the mean of its divisors is an integer number (17828172).

Almost surely, 2^101026257 is an apocalyptic number.

101026257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101026257 is a deficient number, since it is larger than the sum of its proper divisors (41599119).

101026257 is a wasteful number, since it uses less digits than its factorization.

101026257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980927.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 101026257 is about 10051.1818708050. The cubic root of 101026257 is about 465.7413034219.

Adding to 101026257 its reverse (752620101), we get a palindrome (853646358).

The spelling of 101026257 in words is "one hundred one million, twenty-six thousand, two hundred fifty-seven".