100202001 has 16 divisors (see below), whose sum is σ = 136561920. Its totient is φ = 65333520.

The previous prime is 100201993. The next prime is 100202009.

It is a happy number.

100202001 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (100201993) and next prime (100202009).

It is not a de Polignac number, because 100202001 - 2³ = 100201993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100202009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36006 + ... + 38688.

It is an arithmetic number, because the mean of its divisors is an integer number (8535120).

Almost surely, 2^100202001 is an apocalyptic number.

It is an amenable number.

100202001 is a deficient number, since it is larger than the sum of its proper divisors (36359919).

100202001 is a wasteful number, since it uses less digits than its factorization.

100202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100202001 is about 10010.0949545946. The cubic root of 100202001 is about 464.4712083510.

It can be divided in two parts, 10020 and 2001, that added together give a palindrome (12021).

The spelling of 100202001 in words is "one hundred million, two hundred two thousand, one".