100442622511 has 24 divisors (see below), whose sum is σ = 128725448400. Its totient is φ = 77492016000.

The previous prime is 100442622493. The next prime is 100442622517. The reversal of 100442622511 is 115226244001.

It is not a de Polignac number, because 100442622511 - 2¹⁵ = 100442589743 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100442622511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442622517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868086 + ... + 976963.

It is an arithmetic number, because the mean of its divisors is an integer number (5363560350).

Almost surely, 2^100442622511 is an apocalyptic number.

100442622511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100442622511 is a deficient number, since it is larger than the sum of its proper divisors (28282825889).

100442622511 is a wasteful number, since it uses less digits than its factorization.

100442622511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845175 (or 1845168 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 100442622511 its reverse (115226244001), we get a palindrome (215668866512).

The spelling of 100442622511 in words is "one hundred billion, four hundred forty-two million, six hundred twenty-two thousand, five hundred eleven".