100137421 has 2 divisors, whose sum is σ = 100137422. Its totient is φ = 100137420.

The previous prime is 100137419. The next prime is 100137431. The reversal of 100137421 is 124731001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98208100 + 1929321 = 9910^2 + 1389^2 .

It is a cyclic number.

It is not a de Polignac number, because 100137421 - 2¹ = 100137419 is a prime.

Together with 100137419, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100137431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50068710 + 50068711.

It is an arithmetic number, because the mean of its divisors is an integer number (50068711).

Almost surely, 2^100137421 is an apocalyptic number.

It is an amenable number.

100137421 is a deficient number, since it is larger than the sum of its proper divisors (1).

100137421 is an equidigital number, since it uses as much as digits as its factorization.

100137421 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 100137421 is about 10006.8686910542. The cubic root of 100137421 is about 464.3714033017.

Adding to 100137421 its reverse (124731001), we get a palindrome (224868422).

The spelling of 100137421 in words is "one hundred million, one hundred thirty-seven thousand, four hundred twenty-one".