102233001012949 has 2 divisors, whose sum is σ = 102233001012950. Its totient is φ = 102233001012948.

The previous prime is 102233001012859. The next prime is 102233001013001. The reversal of 102233001012949 is 949210100332201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54545344372324 + 47687656640625 = 7385482^2 + 6905625^2 .

It is a cyclic number.

It is not a de Polignac number, because 102233001012949 - 2²³ = 102232992624341 is a prime.

It is a super-2 number, since 2×102233001012949² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102233001012349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51116500506474 + 51116500506475.

It is an arithmetic number, because the mean of its divisors is an integer number (51116500506475).

Almost surely, 2^{102233001012949} is an apocalyptic number.

It is an amenable number.

102233001012949 is a deficient number, since it is larger than the sum of its proper divisors (1).

102233001012949 is an equidigital number, since it uses as much as digits as its factorization.

102233001012949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 102233001012949 in words is "one hundred two trillion, two hundred thirty-three billion, one million, twelve thousand, nine hundred forty-nine".