2100101112111 has 8 divisors (see below), whose sum is σ = 2800424154880. Its totient is φ = 1399922738712.

The previous prime is 2100101112107. The next prime is 2100101112149. The reversal of 2100101112111 is 1112111010012.

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

It is not a de Polignac number, because 2100101112111 - 2² = 2100101112107 is a prime.

It is a super-3 number, since 3×2100101112111³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100101111111) 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, 36133465 + ... + 36191538.

It is an arithmetic number, because the mean of its divisors is an integer number (350053019360).

Almost surely, 2^{2100101112111} is an apocalyptic number.

2100101112111 is a deficient number, since it is larger than the sum of its proper divisors (700323042769).

2100101112111 is an equidigital number, since it uses as much as digits as its factorization.

2100101112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72334685.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2100101112111 its reverse (1112111010012), we get a palindrome (3212212122123).

The spelling of 2100101112111 in words is "two trillion, one hundred billion, one hundred one million, one hundred twelve thousand, one hundred eleven".