100142213 has 8 divisors (see below), whose sum is σ = 102716376. Its totient is φ = 97632480.

The previous prime is 100142197. The next prime is 100142219. The reversal of 100142213 is 312241001.

It can be written as a sum of positive squares in 4 ways, for example, as 25786084 + 74356129 = 5078^2 + 8623^2 .

It is not a de Polignac number, because 100142213 - 2⁴ = 100142197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68195 + ... + 69647.

It is an arithmetic number, because the mean of its divisors is an integer number (12839547).

Almost surely, 2^100142213 is an apocalyptic number.

It is an amenable number.

100142213 is a deficient number, since it is larger than the sum of its proper divisors (2574163).

100142213 is an frugal number, since it uses more digits than its factorization.

100142213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 100142213 is about 10007.1081237289. The cubic root of 100142213 is about 464.3788105634.

Adding to 100142213 its reverse (312241001), we get a palindrome (412383214).

It can be divided in two parts, 100142 and 213, that multiplied together give a triangular number (21330246 = T₆₅₃₁).

The spelling of 100142213 in words is "one hundred million, one hundred forty-two thousand, two hundred thirteen".