10100743721 has 2 divisors, whose sum is σ = 10100743722. Its totient is φ = 10100743720.

The previous prime is 10100743661. The next prime is 10100743747. The reversal of 10100743721 is 12734700101.

It is a happy number.

It is an a-pointer prime, because the next prime (10100743747) can be obtained adding 10100743721 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7319658025 + 2781085696 = 85555^2 + 52736^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100743721 - 2¹⁰ = 10100742697 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100743771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050371860 + 5050371861.

It is an arithmetic number, because the mean of its divisors is an integer number (5050371861).

Almost surely, 2^10100743721 is an apocalyptic number.

It is an amenable number.

10100743721 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100743721 is an equidigital number, since it uses as much as digits as its factorization.

10100743721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 26.

The spelling of 10100743721 in words is "ten billion, one hundred million, seven hundred forty-three thousand, seven hundred twenty-one".