10120011212201 has 128 divisors (see below), whose sum is σ = 12375659520000. Its totient is φ = 8176273459200.

The previous prime is 10120011212189. The next prime is 10120011212203. The reversal of 10120011212201 is 10221211002101.

It is not a de Polignac number, because 10120011212201 - 2¹⁴ = 10120011195817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120011212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7233745700 + ... + 7233747098.

It is an arithmetic number, because the mean of its divisors is an integer number (96684840000).

Almost surely, 2^{10120011212201} is an apocalyptic number.

10120011212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120011212201 is a deficient number, since it is larger than the sum of its proper divisors (2255648307799).

10120011212201 is a wasteful number, since it uses less digits than its factorization.

10120011212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120011212201 its reverse (10221211002101), we get a palindrome (20341222214302).

The spelling of 10120011212201 in words is "ten trillion, one hundred twenty billion, eleven million, two hundred twelve thousand, two hundred one".