100456526501 has 2 divisors, whose sum is σ = 100456526502. Its totient is φ = 100456526500.

The previous prime is 100456526453. The next prime is 100456526519. The reversal of 100456526501 is 105625654001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95218530625 + 5237995876 = 308575^2 + 72374^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100456526501 is a prime.

It is a super-2 number, since 2×100456526501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100456526801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50228263250 + 50228263251.

It is an arithmetic number, because the mean of its divisors is an integer number (50228263251).

Almost surely, 2^100456526501 is an apocalyptic number.

It is an amenable number.

100456526501 is a deficient number, since it is larger than the sum of its proper divisors (1).

100456526501 is an equidigital number, since it uses as much as digits as its factorization.

100456526501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 100456526501 in words is "one hundred billion, four hundred fifty-six million, five hundred twenty-six thousand, five hundred one".