100101111020111 has 8 divisors (see below), whose sum is σ = 100594890714240. Its totient is φ = 99608525474008.

The previous prime is 100101111020089. The next prime is 100101111020117. The reversal of 100101111020111 is 111020111101001.

It is a happy number.

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 100101111020111 - 2¹⁴ = 100101111003727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101111020092 and 100101111020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111020117) 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, 298368941 + ... + 298704246.

It is an arithmetic number, because the mean of its divisors is an integer number (12574361339280).

Almost surely, 2^{100101111020111} is an apocalyptic number.

100101111020111 is a deficient number, since it is larger than the sum of its proper divisors (493779694129).

100101111020111 is an equidigital number, since it uses as much as digits as its factorization.

100101111020111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597074013.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100101111020111 its reverse (111020111101001), we get a palindrome (211121222121112).

The spelling of 100101111020111 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, twenty thousand, one hundred eleven".