100106001005111 has 8 divisors (see below), whose sum is σ = 100855196498400. Its totient is φ = 99357836753952.

The previous prime is 100106001005099. The next prime is 100106001005173. The reversal of 100106001005111 is 111500100601001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100106001005111 - 2³⁰ = 100104927263287 is a prime.

It is a super-2 number, since 2×100106001005111² (a number of 29 digits) contains 22 as substring.

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 100106001005111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106001004111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257615660 + ... + 258003953.

It is an arithmetic number, because the mean of its divisors is an integer number (12606899562300).

Almost surely, 2^{100106001005111} is an apocalyptic number.

100106001005111 is a deficient number, since it is larger than the sum of its proper divisors (749195493289).

100106001005111 is a wasteful number, since it uses less digits than its factorization.

100106001005111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515621065.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 100106001005111 its reverse (111500100601001), we get a palindrome (211606101606112).

The spelling of 100106001005111 in words is "one hundred trillion, one hundred six billion, one million, five thousand, one hundred eleven".