100414214511 has 16 divisors (see below), whose sum is σ = 144732758016. Its totient is φ = 61558400736.

The previous prime is 100414214497. The next prime is 100414214569. The reversal of 100414214511 is 115412414001.

It is a happy number.

It is not a de Polignac number, because 100414214511 - 2¹⁸ = 100413952367 is a prime.

It is a super-2 number, since 2×100414214511² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414214581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4884655 + ... + 4905168.

It is an arithmetic number, because the mean of its divisors is an integer number (9045797376).

Almost surely, 2^100414214511 is an apocalyptic number.

100414214511 is a deficient number, since it is larger than the sum of its proper divisors (44318543505).

100414214511 is a wasteful number, since it uses less digits than its factorization.

100414214511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9790102.

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 100414214511 its reverse (115412414001), we get a palindrome (215826628512).

The spelling of 100414214511 in words is "one hundred billion, four hundred fourteen million, two hundred fourteen thousand, five hundred eleven".