2100010102011 has 12 divisors (see below), whose sum is σ = 3038793799392. Its totient is φ = 1397493254256.

The previous prime is 2100010102009. The next prime is 2100010102013. The reversal of 2100010102011 is 1102010100012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100010102009) and next prime (2100010102013).

It is not a de Polignac number, because 2100010102011 - 2¹ = 2100010102009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100010101984 and 2100010102002.

It is not an unprimeable number, because it can be changed into a prime (2100010102013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209451411 + ... + 209461436.

It is an arithmetic number, because the mean of its divisors is an integer number (253232816616).

Almost surely, 2^{2100010102011} is an apocalyptic number.

2100010102011 is a deficient number, since it is larger than the sum of its proper divisors (938783697381).

2100010102011 is a wasteful number, since it uses less digits than its factorization.

2100010102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418913410 (or 418913407 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100010102011 its reverse (1102010100012), we get a palindrome (3202020202023).

The spelling of 2100010102011 in words is "two trillion, one hundred billion, ten million, one hundred two thousand, eleven".