120357653473101 has 32 divisors (see below), whose sum is σ = 177587995124736. Its totient is φ = 71893721984000.

The previous prime is 120357653473067. The next prime is 120357653473111. The reversal of 120357653473101 is 101374356753021.

It is a cyclic number.

It is not a de Polignac number, because 120357653473101 - 2⁶ = 120357653473037 is a prime.

It is a super-2 number, since 2×120357653473101² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120357653473111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837615 + ... + 15537596.

It is an arithmetic number, because the mean of its divisors is an integer number (5549624847648).

Almost surely, 2^{120357653473101} is an apocalyptic number.

120357653473101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120357653473101 is a deficient number, since it is larger than the sum of its proper divisors (57230341651635).

120357653473101 is a wasteful number, since it uses less digits than its factorization.

120357653473101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16378433.

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 120357653473101 in words is "one hundred twenty trillion, three hundred fifty-seven billion, six hundred fifty-three million, four hundred seventy-three thousand, one hundred one".