2120221020101 has 8 divisors (see below), whose sum is σ = 2174049357144. Its totient is φ = 2067007864320.

The previous prime is 2120221020079. The next prime is 2120221020107. The reversal of 2120221020101 is 1010201220212.

It can be written as a sum of positive squares in 4 ways, for example, as 478311943201 + 1641909076900 = 691601^2 + 1281370^2 .

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 2120221020101 - 2¹⁸ = 2120220757957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120221020107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153788336 + ... + 153802121.

It is an arithmetic number, because the mean of its divisors is an integer number (271756169643).

Almost surely, 2^{2120221020101} is an apocalyptic number.

It is an amenable number.

2120221020101 is a deficient number, since it is larger than the sum of its proper divisors (53828337043).

2120221020101 is a wasteful number, since it uses less digits than its factorization.

2120221020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307590631.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2120221020101 its reverse (1010201220212), we get a palindrome (3130422240313).

The spelling of 2120221020101 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, twenty thousand, one hundred one".