101121212001133 has 2 divisors, whose sum is σ = 101121212001134. Its totient is φ = 101121212001132.

The previous prime is 101121212001013. The next prime is 101121212001149. The reversal of 101121212001133 is 331100212121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100373087337769 + 748124663364 = 10018637^2 + 864942^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121212001133 - 2²⁹ = 101120675130221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101121212001133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121212001233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560606000566 + 50560606000567.

It is an arithmetic number, because the mean of its divisors is an integer number (50560606000567).

Almost surely, 2^{101121212001133} is an apocalyptic number.

It is an amenable number.

101121212001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121212001133 is an equidigital number, since it uses as much as digits as its factorization.

101121212001133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 101121212001133 its reverse (331100212121101), we get a palindrome (432221424122234).

The spelling of 101121212001133 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twelve million, one thousand, one hundred thirty-three".