10920121199967 has 32 divisors (see below), whose sum is σ = 16648984535040. Its totient is φ = 6236770266720.

The previous prime is 10920121199929. The next prime is 10920121199971. The reversal of 10920121199967 is 76999112102901.

It is not a de Polignac number, because 10920121199967 - 2⁶ = 10920121199903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10920121199987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346533742 + ... + 346565252.

It is an arithmetic number, because the mean of its divisors is an integer number (520280766720).

Almost surely, 2^{10920121199967} is an apocalyptic number.

10920121199967 is a deficient number, since it is larger than the sum of its proper divisors (5728863335073).

10920121199967 is a wasteful number, since it uses less digits than its factorization.

10920121199967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39723.

The product of its (nonzero) digits is 1102248, while the sum is 57.

The spelling of 10920121199967 in words is "ten trillion, nine hundred twenty billion, one hundred twenty-one million, one hundred ninety-nine thousand, nine hundred sixty-seven".