102120220000097 has 16 divisors (see below), whose sum is σ = 111960601251408. Its totient is φ = 92574491397120.

The previous prime is 102120220000067. The next prime is 102120220000103. The reversal of 102120220000097 is 790000022021201.

It can be written as a sum of positive squares in 8 ways, for example, as 42862109111056 + 59258110889041 = 6546916^2 + 7697929^2 .

It is a cyclic number.

It is not a de Polignac number, because 102120220000097 - 2⁸ = 102120219999841 is a prime.

It is a super-2 number, since 2×102120220000097² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102120220000067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230697854 + ... + 231140087.

It is an arithmetic number, because the mean of its divisors is an integer number (6997537578213).

Almost surely, 2^{102120220000097} is an apocalyptic number.

It is an amenable number.

102120220000097 is a deficient number, since it is larger than the sum of its proper divisors (9840381251311).

102120220000097 is a wasteful number, since it uses less digits than its factorization.

102120220000097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461838260.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 102120220000097 its reverse (790000022021201), we get a palindrome (892120242021298).

The spelling of 102120220000097 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty million, ninety-seven", and thus it is an aban number.