2122010101 has 8 divisors (see below), whose sum is σ = 2144040408. Its totient is φ = 2100000000.

The previous prime is 2122010089. The next prime is 2122010113. The reversal of 2122010101 is 1010102212.

It is an interprime number because it is at equal distance from previous prime (2122010089) and next prime (2122010113).

It can be written as a sum of positive squares in 4 ways, for example, as 809687025 + 1312323076 = 28455^2 + 36226^2 .

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

It is a 4-Lehmer number, since φ(2122010101) divides (2122010101-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 2122010101 - 2¹⁹ = 2121485813 is a prime.

It is a Duffinian number.

2122010101 is a modest number, since divided by 10101 gives 2122 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122020101) 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, 299601 + ... + 306601.

It is an arithmetic number, because the mean of its divisors is an integer number (268005051).

Almost surely, 2^2122010101 is an apocalyptic number.

It is an amenable number.

2122010101 is a deficient number, since it is larger than the sum of its proper divisors (22030307).

2122010101 is a wasteful number, since it uses less digits than its factorization.

2122010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10103.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2122010101 is about 46065.2808631403. The cubic root of 2122010101 is about 1285.0375419394.

Adding to 2122010101 its reverse (1010102212), we get a palindrome (3132112313).

The spelling of 2122010101 in words is "two billion, one hundred twenty-two million, ten thousand, one hundred one".