97229066121 has 60 divisors (see below), whose sum is σ = 161230037892. Its totient is φ = 58342680000.

The previous prime is 97229066029. The next prime is 97229066147. The reversal of 97229066121 is 12166092279.

97229066121 is a `hidden beast` number, since 9 + 7 + 2 + 29 + 0 + 6 + 612 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52344406521 + 44884659600 = 228789^2 + 211860^2 .

It is not a de Polignac number, because 97229066121 - 2¹⁰ = 97229065097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97229068121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 940791 + ... + 1039011.

Almost surely, 2^97229066121 is an apocalyptic number.

It is an amenable number.

97229066121 is a deficient number, since it is larger than the sum of its proper divisors (64000971771).

97229066121 is a wasteful number, since it uses less digits than its factorization.

97229066121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98356 (or 98336 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 97229066121 in words is "ninety-seven billion, two hundred twenty-nine million, sixty-six thousand, one hundred twenty-one".