2122101021001 has 8 divisors (see below), whose sum is σ = 2285358614280. Its totient is φ = 1958846149632.

The previous prime is 2122101020953. The next prime is 2122101021083. The reversal of 2122101021001 is 1001201012212.

It can be written as a sum of positive squares in 4 ways, for example, as 77704350025 + 2044396670976 = 278755^2 + 1429824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122101021001 - 2¹¹ = 2122101018953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122101021401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114071 + ... + 2342083.

It is an arithmetic number, because the mean of its divisors is an integer number (285669826785).

Almost surely, 2^{2122101021001} is an apocalyptic number.

It is an amenable number.

2122101021001 is a deficient number, since it is larger than the sum of its proper divisors (163257593279).

2122101021001 is a wasteful number, since it uses less digits than its factorization.

2122101021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360955.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2122101021001 its reverse (1001201012212), we get a palindrome (3123302033213).

The spelling of 2122101021001 in words is "two trillion, one hundred twenty-two billion, one hundred one million, twenty-one thousand, one".