100100211121111 has 8 divisors (see below), whose sum is σ = 106126691081600. Its totient is φ = 94149535940280.

The previous prime is 100100211121103. The next prime is 100100211121133. The reversal of 100100211121111 is 111121112001001.

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 100100211121111 - 2³ = 100100211121103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100211121091 and 100100211121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100211121151) 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, 18951192195 + ... + 18951197476.

It is an arithmetic number, because the mean of its divisors is an integer number (13265836385200).

Almost surely, 2^{100100211121111} is an apocalyptic number.

100100211121111 is a deficient number, since it is larger than the sum of its proper divisors (6026479960489).

100100211121111 is a wasteful number, since it uses less digits than its factorization.

100100211121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37902389829.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100100211121111 its reverse (111121112001001), we get a palindrome (211221323122112).

The spelling of 100100211121111 in words is "one hundred trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand, one hundred eleven".