2121211112101 has 2 divisors, whose sum is σ = 2121211112102. Its totient is φ = 2121211112100.

The previous prime is 2121211112099. The next prime is 2121211112107. The reversal of 2121211112101 is 1012111121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2085395928100 + 35815184001 = 1444090^2 + 189249^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121211112101 - 2¹ = 2121211112099 is a prime.

It is a super-2 number, since 2×2121211112101² (a number of 25 digits) contains 22 as substring.

Together with 2121211112099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121211112107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060605556050 + 1060605556051.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605556051).

Almost surely, 2^{2121211112101} is an apocalyptic number.

It is an amenable number.

2121211112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121211112101 is an equidigital number, since it uses as much as digits as its factorization.

2121211112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 2121211112101 its reverse (1012111121212), we get a palindrome (3133322233313).

The spelling of 2121211112101 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred one".