100201100001003 has 64 divisors (see below), whose sum is σ = 157450151116800. Its totient is φ = 62844660362880.

The previous prime is 100201100001001. The next prime is 100201100001019. The reversal of 100201100001003 is 300100001102001.

It is not a de Polignac number, because 100201100001003 - 2¹ = 100201100001001 is a prime.

It is a super-2 number, since 2×100201100001003² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100201100001001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622948393 + ... + 623109221.

It is an arithmetic number, because the mean of its divisors is an integer number (2460158611200).

Almost surely, 2^{100201100001003} is an apocalyptic number.

100201100001003 is a deficient number, since it is larger than the sum of its proper divisors (57249051115797).

100201100001003 is a wasteful number, since it uses less digits than its factorization.

100201100001003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177369 (or 177363 counting only the distinct ones).

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

Adding to 100201100001003 its reverse (300100001102001), we get a palindrome (400301101103004).

The spelling of 100201100001003 in words is "one hundred trillion, two hundred one billion, one hundred million, one thousand, three".