2131212211101 has 12 divisors (see below), whose sum is σ = 3108897022140. Its totient is φ = 1406740732800.

The previous prime is 2131212211069. The next prime is 2131212211129. The reversal of 2131212211101 is 1011122121312.

It is a happy number.

2131212211101 is a `hidden beast` number, since 21 + 312 + 1 + 221 + 110 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2095977167001 + 35235044100 = 1447749^2 + 187710^2 .

It is not a de Polignac number, because 2131212211101 - 2⁵ = 2131212211069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131212211301) 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, 1172283036 + ... + 1172284853.

It is an arithmetic number, because the mean of its divisors is an integer number (259074751845).

Almost surely, 2^{2131212211101} is an apocalyptic number.

It is an amenable number.

2131212211101 is a deficient number, since it is larger than the sum of its proper divisors (977684811039).

2131212211101 is a wasteful number, since it uses less digits than its factorization.

2131212211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344567996 (or 2344567993 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 2131212211101 its reverse (1011122121312), we get a palindrome (3142334332413).

The spelling of 2131212211101 in words is "two trillion, one hundred thirty-one billion, two hundred twelve million, two hundred eleven thousand, one hundred one".