2101012011 has 24 divisors (see below), whose sum is σ = 3580222464. Its totient is φ = 1161848880.

The previous prime is 2101012003. The next prime is 2101012013. The reversal of 2101012011 is 1102101012.

It is a happy number.

It is not a de Polignac number, because 2101012011 - 2³ = 2101012003 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 = 2101011984 and 2101012002.

It is not an unprimeable number, because it can be changed into a prime (2101012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535941 + ... + 539846.

It is an arithmetic number, because the mean of its divisors is an integer number (149175936).

Almost surely, 2^2101012011 is an apocalyptic number.

2101012011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2101012011 is a deficient number, since it is larger than the sum of its proper divisors (1479210453).

2101012011 is a wasteful number, since it uses less digits than its factorization.

2101012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075831 (or 1075828 counting only the distinct ones).

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

The square root of 2101012011 is about 45836.7975648387. The cubic root of 2101012011 is about 1280.7848399206.

Adding to 2101012011 its reverse (1102101012), we get a palindrome (3203113023).

The spelling of 2101012011 in words is "two billion, one hundred one million, twelve thousand, eleven".