10110100121001 has 12 divisors (see below), whose sum is σ = 14659004488128. Its totient is φ = 6714439115544.

The previous prime is 10110100120973. The next prime is 10110100121041. The reversal of 10110100121001 is 10012100101101.

10110100121001 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 10110100121001 - 2¹⁸ = 10110099858857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10110100121041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2135633485 + ... + 2135638218.

It is an arithmetic number, because the mean of its divisors is an integer number (1221583707344).

Almost surely, 2^{10110100121001} is an apocalyptic number.

It is an amenable number.

10110100121001 is a deficient number, since it is larger than the sum of its proper divisors (4548904367127).

10110100121001 is a wasteful number, since it uses less digits than its factorization.

10110100121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271271972 (or 4271271969 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10110100121001 its reverse (10012100101101), we get a palindrome (20122200222102).

The spelling of 10110100121001 in words is "ten trillion, one hundred ten billion, one hundred million, one hundred twenty-one thousand, one".