100200101001 has 128 divisors (see below), whose sum is σ = 183982977024. Its totient is φ = 46820229120.

The previous prime is 100200100993. The next prime is 100200101003. The reversal of 100200101001 is 100101002001.

It is not a de Polignac number, because 100200101001 - 2³ = 100200100993 is a prime.

It is a super-2 number, since 2×100200101001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100200101003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86903241 + ... + 86904393.

It is an arithmetic number, because the mean of its divisors is an integer number (1437367008).

Almost surely, 2^100200101001 is an apocalyptic number.

100200101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200101001 is a deficient number, since it is larger than the sum of its proper divisors (83782876023).

100200101001 is a wasteful number, since it uses less digits than its factorization.

100200101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100200101001 its reverse (100101002001), we get a palindrome (200301103002).

The spelling of 100200101001 in words is "one hundred billion, two hundred million, one hundred one thousand, one".