100032100311007 has 2 divisors, whose sum is σ = 100032100311008. Its totient is φ = 100032100311006.

The previous prime is 100032100310977. The next prime is 100032100311053. The reversal of 100032100311007 is 700113001230001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100032100311007 - 2⁴³ = 91236007288799 is a prime.

It is a super-2 number, since 2×100032100311007² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100032100311607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016050155503 + 50016050155504.

It is an arithmetic number, because the mean of its divisors is an integer number (50016050155504).

Almost surely, 2^{100032100311007} is an apocalyptic number.

100032100311007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100032100311007 is an equidigital number, since it uses as much as digits as its factorization.

100032100311007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 100032100311007 its reverse (700113001230001), we get a palindrome (800145101541008).

The spelling of 100032100311007 in words is "one hundred trillion, thirty-two billion, one hundred million, three hundred eleven thousand, seven".