102110011122233 has 2 divisors, whose sum is σ = 102110011122234. Its totient is φ = 102110011122232.

The previous prime is 102110011122139. The next prime is 102110011122239. The reversal of 102110011122233 is 332221110011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78185420431504 + 23924590690729 = 8842252^2 + 4891277^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110011122233 - 2³⁸ = 101835133215289 is a prime.

It is not a weakly prime, because it can be changed into another prime (102110011122239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055005561116 + 51055005561117.

It is an arithmetic number, because the mean of its divisors is an integer number (51055005561117).

Almost surely, 2^{102110011122233} is an apocalyptic number.

It is an amenable number.

102110011122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110011122233 is an equidigital number, since it uses as much as digits as its factorization.

102110011122233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102110011122233 its reverse (332221110011201), we get a palindrome (434331121133434).

The spelling of 102110011122233 in words is "one hundred two trillion, one hundred ten billion, eleven million, one hundred twenty-two thousand, two hundred thirty-three".