2101131132221 has 12 divisors (see below), whose sum is σ = 2333317144956. Its totient is φ = 1890427249920.

The previous prime is 2101131132187. The next prime is 2101131132223. The reversal of 2101131132221 is 1222311311012.

It can be written as a sum of positive squares in 2 ways, for example, as 736182876121 + 1364948256100 = 858011^2 + 1168310^2 .

It is not a de Polignac number, because 2101131132221 - 2⁶ = 2101131132157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101131132193 and 2101131132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101131132223) 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, 89497130 + ... + 89520603.

It is an arithmetic number, because the mean of its divisors is an integer number (194443095413).

Almost surely, 2^{2101131132221} is an apocalyptic number.

It is an amenable number.

2101131132221 is a deficient number, since it is larger than the sum of its proper divisors (232186012735).

2101131132221 is a wasteful number, since it uses less digits than its factorization.

2101131132221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179017852 (or 179017841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2101131132221 its reverse (1222311311012), we get a palindrome (3323442443233).

The spelling of 2101131132221 in words is "two trillion, one hundred one billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred twenty-one".