2102010002111 has 8 divisors (see below), whose sum is σ = 2228450207760. Its totient is φ = 1975880080768.

The previous prime is 2102010002017. The next prime is 2102010002159. The reversal of 2102010002111 is 1112000102012.

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 2102010002111 - 2¹⁴ = 2102009985727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102010002092 and 2102010002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102010001111) 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, 77557121 + ... + 77584218.

It is an arithmetic number, because the mean of its divisors is an integer number (278556275970).

Almost surely, 2^{2102010002111} is an apocalyptic number.

2102010002111 is a deficient number, since it is larger than the sum of its proper divisors (126440205649).

2102010002111 is a wasteful number, since it uses less digits than its factorization.

2102010002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155142153.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2102010002111 its reverse (1112000102012), we get a palindrome (3214010104123).

Subtracting from 2102010002111 its reverse (1112000102012), we obtain a palindrome (990009900099).

The spelling of 2102010002111 in words is "two trillion, one hundred two billion, ten million, two thousand, one hundred eleven".