2101022001 has 12 divisors (see below), whose sum is σ = 3268256628. Its totient is φ = 1292936544.

The previous prime is 2101021943. The next prime is 2101022029. The reversal of 2101022001 is 1002201012.

It can be written as a sum of positive squares in 2 ways, for example, as 1067720976 + 1033301025 = 32676^2 + 32145^2 .

It is not a de Polignac number, because 2101022001 - 2⁷ = 2101021873 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2101022501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8978610 + ... + 8978843.

It is an arithmetic number, because the mean of its divisors is an integer number (272354719).

Almost surely, 2^2101022001 is an apocalyptic number.

It is an amenable number.

2101022001 is a deficient number, since it is larger than the sum of its proper divisors (1167234627).

2101022001 is a wasteful number, since it uses less digits than its factorization.

2101022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17957472 (or 17957469 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2101022001 is about 45836.9065382907. The cubic root of 2101022001 is about 1280.7868698979.

Adding to 2101022001 its reverse (1002201012), we get a palindrome (3103223013).

The spelling of 2101022001 in words is "two billion, one hundred one million, twenty-two thousand, one".