10121111121001 has 8 divisors (see below), whose sum is σ = 10219448903040. Its totient is φ = 10022774773152.

The previous prime is 10121111120993. The next prime is 10121111121013. The reversal of 10121111121001 is 10012111112101.

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

It is a cyclic number.

It is not a de Polignac number, because 10121111121001 - 2³ = 10121111120993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121111121061) 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, 18742740 + ... + 19275178.

It is an arithmetic number, because the mean of its divisors is an integer number (1277431112880).

Almost surely, 2^{10121111121001} is an apocalyptic number.

It is an amenable number.

10121111121001 is a deficient number, since it is larger than the sum of its proper divisors (98337782039).

10121111121001 is a wasteful number, since it uses less digits than its factorization.

10121111121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717095.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10121111121001 its reverse (10012111112101), we get a palindrome (20133222233102).

It can be divided in two parts, 1012111112100 and 1, that added together give a palindrome (1012111112101).

The spelling of 10121111121001 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, one".