2100012010011 has 16 divisors (see below), whose sum is σ = 3111152322720. Its totient is φ = 1399997468160.

The previous prime is 2100012010009. The next prime is 2100012010013. The reversal of 2100012010011 is 1100102100012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100012010009) and next prime (2100012010013).

It is not a de Polignac number, because 2100012010011 - 2¹ = 2100012010009 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 = 2100012009975 and 2100012010002.

It is not an unprimeable number, because it can be changed into a prime (2100012010013) 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, 5310691 + ... + 5692403.

It is an arithmetic number, because the mean of its divisors is an integer number (194447020170).

Almost surely, 2^{2100012010011} is an apocalyptic number.

2100012010011 is a deficient number, since it is larger than the sum of its proper divisors (1011140312709).

2100012010011 is a wasteful number, since it uses less digits than its factorization.

2100012010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585483 (or 585477 counting only the distinct ones).

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

Adding to 2100012010011 its reverse (1100102100012), we get a palindrome (3200114110023).

Subtracting from 2100012010011 its reverse (1100102100012), we obtain a palindrome (999909909999).

The spelling of 2100012010011 in words is "two trillion, one hundred billion, twelve million, ten thousand, eleven".