100205120511 has 6 divisors (see below), whose sum is σ = 144740729640. Its totient is φ = 66803413668.

The previous prime is 100205120479. The next prime is 100205120531. The reversal of 100205120511 is 115021502001.

100205120511 is a `hidden beast` number, since 10 + 0 + 20 + 5 + 120 + 511 = 666.

It is not a de Polignac number, because 100205120511 - 2⁵ = 100205120479 is a prime.

It is a super-2 number, since 2×100205120511² (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 (100205120531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5566951131 + ... + 5566951148.

It is an arithmetic number, because the mean of its divisors is an integer number (24123454940).

Almost surely, 2^100205120511 is an apocalyptic number.

100205120511 is a deficient number, since it is larger than the sum of its proper divisors (44535609129).

100205120511 is a wasteful number, since it uses less digits than its factorization.

100205120511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133902285 (or 11133902282 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 100205120511 its reverse (115021502001), we get a palindrome (215226622512).

The spelling of 100205120511 in words is "one hundred billion, two hundred five million, one hundred twenty thousand, five hundred eleven".