101004429257 has 8 divisors (see below), whose sum is σ = 101128488384. Its totient is φ = 100880449488.

The previous prime is 101004429247. The next prime is 101004429259. The reversal of 101004429257 is 752924400101.

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

It is a cyclic number.

It is not a de Polignac number, because 101004429257 - 2²⁸ = 100735993801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101004429259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2761028 + ... + 2797370.

It is an arithmetic number, because the mean of its divisors is an integer number (12641061048).

Almost surely, 2^101004429257 is an apocalyptic number.

It is an amenable number.

101004429257 is a deficient number, since it is larger than the sum of its proper divisors (124059127).

101004429257 is a wasteful number, since it uses less digits than its factorization.

101004429257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39679.

The product of its (nonzero) digits is 20160, while the sum is 35.

Adding to 101004429257 its reverse (752924400101), we get a palindrome (853928829358).

It can be divided in two parts, 1010044 and 29257, that added together give a palindrome (1039301).

The spelling of 101004429257 in words is "one hundred one billion, four million, four hundred twenty-nine thousand, two hundred fifty-seven".