9906101296128 has 66 divisors (see below), whose sum is σ = 28603652543024. Its totient is φ = 3302033762304.

The previous prime is 9906101296123. The next prime is 9906101296139. The reversal of 9906101296128 is 8216921016099.

9906101296128 is a `hidden beast` number, since 9 + 9 + 0 + 6 + 1 + 0 + 12 + 9 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9906101296123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 537431176 + ... + 537449607.

Almost surely, 2^{9906101296128} is an apocalyptic number.

It is an amenable number.

9906101296128 is an abundant number, since it is smaller than the sum of its proper divisors (18697551246896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9906101296128 is a wasteful number, since it uses less digits than its factorization.

9906101296128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074880809 (or 1074880788 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 9906101296128 in words is "nine trillion, nine hundred six billion, one hundred one million, two hundred ninety-six thousand, one hundred twenty-eight".