2101012102111 has 8 divisors (see below), whose sum is σ = 2395724207184. Its totient is φ = 1825313681280.

The previous prime is 2101012102073. The next prime is 2101012102127. The reversal of 2101012102111 is 1112012101012.

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 2101012102111 - 2⁹ = 2101012101599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101012102091 and 2101012102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101012100111) 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, 4753420825 + ... + 4753421266.

It is an arithmetic number, because the mean of its divisors is an integer number (299465525898).

Almost surely, 2^{2101012102111} is an apocalyptic number.

2101012102111 is a deficient number, since it is larger than the sum of its proper divisors (294712105073).

2101012102111 is a wasteful number, since it uses less digits than its factorization.

2101012102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506842121.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101012102111 its reverse (1112012101012), we get a palindrome (3213024203123).

The spelling of 2101012102111 in words is "two trillion, one hundred one billion, twelve million, one hundred two thousand, one hundred eleven".