2002100102111 has 16 divisors (see below), whose sum is σ = 2056262906880. Its totient is φ = 1948422011040.

The previous prime is 2002100102083. The next prime is 2002100102129. The reversal of 2002100102111 is 1112010012002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002100102111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002100102092 and 2002100102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002100102141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125444750 + ... + 125460708.

It is an arithmetic number, because the mean of its divisors is an integer number (128516431680).

Almost surely, 2^{2002100102111} is an apocalyptic number.

2002100102111 is a deficient number, since it is larger than the sum of its proper divisors (54162804769).

2002100102111 is a wasteful number, since it uses less digits than its factorization.

2002100102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30934.

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

Adding to 2002100102111 its reverse (1112010012002), we get a palindrome (3114110114113).

The spelling of 2002100102111 in words is "two trillion, two billion, one hundred million, one hundred two thousand, one hundred eleven".