10023133211101 has 2 divisors, whose sum is σ = 10023133211102. Its totient is φ = 10023133211100.

The previous prime is 10023133211099. The next prime is 10023133211107. The reversal of 10023133211101 is 10111233132001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5056359363225 + 4966773847876 = 2248635^2 + 2228626^2 .

It is a cyclic number.

It is not a de Polignac number, because 10023133211101 - 2¹ = 10023133211099 is a prime.

Together with 10023133211099, 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 (10023133211107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011566605550 + 5011566605551.

It is an arithmetic number, because the mean of its divisors is an integer number (5011566605551).

Almost surely, 2^{10023133211101} is an apocalyptic number.

It is an amenable number.

10023133211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10023133211101 is an equidigital number, since it uses as much as digits as its factorization.

10023133211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10023133211101 its reverse (10111233132001), we get a palindrome (20134366343102).

The spelling of 10023133211101 in words is "ten trillion, twenty-three billion, one hundred thirty-three million, two hundred eleven thousand, one hundred one".