10021635729 has 48 divisors (see below), whose sum is σ = 16934261760. Its totient is φ = 5592958560.

The previous prime is 10021635719. The next prime is 10021635731. The reversal of 10021635729 is 92753612001.

10021635729 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 63 + 572 + 9 = 666.

It is not a de Polignac number, because 10021635729 - 2²⁰ = 10020587153 is a prime.

It is a super-2 number, since 2×10021635729² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10021635693 and 10021635702.

It is not an unprimeable number, because it can be changed into a prime (10021635719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468142 + ... + 489080.

It is an arithmetic number, because the mean of its divisors is an integer number (352797120).

Almost surely, 2^10021635729 is an apocalyptic number.

It is an amenable number.

10021635729 is a deficient number, since it is larger than the sum of its proper divisors (6912626031).

10021635729 is a wasteful number, since it uses less digits than its factorization.

10021635729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21130 (or 21127 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10021635729 in words is "ten billion, twenty-one million, six hundred thirty-five thousand, seven hundred twenty-nine".