10121111102001 has 8 divisors (see below), whose sum is σ = 13495112600320. Its totient is φ = 6747258502512.

The previous prime is 10121111101901. The next prime is 10121111102041. The reversal of 10121111102001 is 10020111112101.

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

It is not a de Polignac number, because 10121111102001 - 2⁷ = 10121111101873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121111102041) 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, 37066006 + ... + 37338063.

It is an arithmetic number, because the mean of its divisors is an integer number (1686889075040).

Almost surely, 2^{10121111102001} is an apocalyptic number.

It is an amenable number.

10121111102001 is a deficient number, since it is larger than the sum of its proper divisors (3374001498319).

10121111102001 is an equidigital number, since it uses as much as digits as its factorization.

10121111102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74449415.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10121111102001 its reverse (10020111112101), we get a palindrome (20141222214102).

It can be divided in two parts, 1012111 and 1102001, that added together give a palindrome (2114112).

The spelling of 10121111102001 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, one".