100213101 has 6 divisors (see below), whose sum is σ = 144752270. Its totient is φ = 66808728.

The previous prime is 100213073. The next prime is 100213117. The reversal of 100213101 is 101312001.

It can be written as a sum of positive squares in only one way, i.e., 76212900 + 24000201 = 8730^2 + 4899^2 .

It is not a de Polignac number, because 100213101 - 2⁶ = 100213037 is a prime.

It is a super-2 number, since 2×100213101² = 20085331224072402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11134789 = 100213101 / (1 + 0 + 0 + 2 + 1 + 3 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5567386 + ... + 5567403.

Almost surely, 2^100213101 is an apocalyptic number.

It is an amenable number.

100213101 is a deficient number, since it is larger than the sum of its proper divisors (44539169).

100213101 is a wasteful number, since it uses less digits than its factorization.

100213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134795 (or 11134792 counting only the distinct ones).

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

The square root of 100213101 is about 10010.6493795358. The cubic root of 100213101 is about 464.4883585077.

Adding to 100213101 its reverse (101312001), we get a palindrome (201525102).

The spelling of 100213101 in words is "one hundred million, two hundred thirteen thousand, one hundred one".