2101022132301 has 12 divisors (see below), whose sum is σ = 3056961644412. Its totient is φ = 1390457468736.

The previous prime is 2101022132249. The next prime is 2101022132311. The reversal of 2101022132301 is 1032312201012.

2101022132301 is a `hidden beast` number, since 210 + 1 + 0 + 22 + 132 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 784197031401 + 1316825100900 = 885549^2 + 1147530^2 .

It is not a de Polignac number, because 2101022132301 - 2¹¹ = 2101022130253 is a prime.

It is a super-3 number, since 3×2101022132301³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101022132311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 851994766 + ... + 851997231.

It is an arithmetic number, because the mean of its divisors is an integer number (254746803701).

Almost surely, 2^{2101022132301} is an apocalyptic number.

It is an amenable number.

2101022132301 is a deficient number, since it is larger than the sum of its proper divisors (955939512111).

2101022132301 is a wasteful number, since it uses less digits than its factorization.

2101022132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703992140 (or 1703992137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2101022132301 its reverse (1032312201012), we get a palindrome (3133334333313).

The spelling of 2101022132301 in words is "two trillion, one hundred one billion, twenty-two million, one hundred thirty-two thousand, three hundred one".