101211101112353 has 2 divisors, whose sum is σ = 101211101112354. Its totient is φ = 101211101112352.

The previous prime is 101211101112271. The next prime is 101211101112383. The reversal of 101211101112353 is 353211101112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75087216122944 + 26123884989409 = 8665288^2 + 5111153^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211101112353 - 2²² = 101211096918049 is a prime.

It is a super-3 number, since 3×101211101112353³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101211101112383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605550556176 + 50605550556177.

It is an arithmetic number, because the mean of its divisors is an integer number (50605550556177).

Almost surely, 2^{101211101112353} is an apocalyptic number.

It is an amenable number.

101211101112353 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211101112353 is an equidigital number, since it uses as much as digits as its factorization.

101211101112353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 23.

Adding to 101211101112353 its reverse (353211101112101), we get a palindrome (454422202224454).

The spelling of 101211101112353 in words is "one hundred one trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, three hundred fifty-three".