10100201013 has 32 divisors (see below), whose sum is σ = 18000921600. Its totient is φ = 5467776048.

The previous prime is 10100201011. The next prime is 10100201029. The reversal of 10100201013 is 31010200101.

It is not a de Polignac number, because 10100201013 - 2¹ = 10100201011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100200986 and 10100201004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100201011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402731 + ... + 1409912.

It is an arithmetic number, because the mean of its divisors is an integer number (562528800).

Almost surely, 2^10100201013 is an apocalyptic number.

It is an amenable number.

10100201013 is a deficient number, since it is larger than the sum of its proper divisors (7900720587).

10100201013 is a wasteful number, since it uses less digits than its factorization.

10100201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812678 (or 2812672 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100201013 its reverse (31010200101), we get a palindrome (41110401114).

The spelling of 10100201013 in words is "ten billion, one hundred million, two hundred one thousand, thirteen".