10110121121001 has 64 divisors (see below), whose sum is σ = 14803100835840. Its totient is φ = 6086912832000.

The previous prime is 10110121120951. The next prime is 10110121121011. The reversal of 10110121121001 is 10012112101101.

10110121121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10110121121001 - 2¹⁵ = 10110121088233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10110121121011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4717740936 + ... + 4717743078.

It is an arithmetic number, because the mean of its divisors is an integer number (231298450560).

Almost surely, 2^{10110121121001} is an apocalyptic number.

10110121121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110121121001 is a deficient number, since it is larger than the sum of its proper divisors (4692979714839).

10110121121001 is a wasteful number, since it uses less digits than its factorization.

10110121121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838.

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

Adding to 10110121121001 its reverse (10012112101101), we get a palindrome (20122233222102).

It can be divided in two parts, 10 and 110121121001, that added together give a palindrome (110121121011).

The spelling of 10110121121001 in words is "ten trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty-one thousand, one".