10122101021001 has 8 divisors (see below), whose sum is σ = 13499491123264. Its totient is φ = 6746389133040.

The previous prime is 10122101020973. The next prime is 10122101021003. The reversal of 10122101021001 is 10012010122101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10122101021001 - 2³⁰ = 10121027279177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122101021003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419539501 + ... + 419563626.

It is an arithmetic number, because the mean of its divisors is an integer number (1687436390408).

Almost surely, 2^{10122101021001} is an apocalyptic number.

It is an amenable number.

10122101021001 is a deficient number, since it is larger than the sum of its proper divisors (3377390102263).

10122101021001 is an equidigital number, since it uses as much as digits as its factorization.

10122101021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839107151.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10122101021001 its reverse (10012010122101), we get a palindrome (20134111143102).

The spelling of 10122101021001 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, twenty-one thousand, one".