2101012001111 has 8 divisors (see below), whose sum is σ = 2168880325248. Its totient is φ = 2033149536000.

The previous prime is 2101012001107. The next prime is 2101012001117. The reversal of 2101012001111 is 1111002101012.

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 2101012001111 - 2² = 2101012001107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101012001092 and 2101012001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101012001117) 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, 730130 + ... + 2176031.

It is an arithmetic number, because the mean of its divisors is an integer number (271110040656).

Almost surely, 2^{2101012001111} is an apocalyptic number.

2101012001111 is a deficient number, since it is larger than the sum of its proper divisors (67868324137).

2101012001111 is a wasteful number, since it uses less digits than its factorization.

2101012001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929513.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101012001111 its reverse (1111002101012), we get a palindrome (3212014102123).

Subtracting from 2101012001111 its reverse (1111002101012), we obtain a palindrome (990009900099).

The spelling of 2101012001111 in words is "two trillion, one hundred one billion, twelve million, one thousand, one hundred eleven".