100110001009951 has 2 divisors, whose sum is σ = 100110001009952. Its totient is φ = 100110001009950.

The previous prime is 100110001009933. The next prime is 100110001010003. The reversal of 100110001009951 is 159900100011001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100110001009951 - 2⁵ = 100110001009919 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110001049951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055000504975 + 50055000504976.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000504976).

Almost surely, 2^{100110001009951} is an apocalyptic number.

100110001009951 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110001009951 is an equidigital number, since it uses as much as digits as its factorization.

100110001009951 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 28.

The spelling of 100110001009951 in words is "one hundred trillion, one hundred ten billion, one million, nine thousand, nine hundred fifty-one".