10120001101 has 16 divisors (see below), whose sum is σ = 11849846400. Its totient is φ = 8463019968.

The previous prime is 10120001071. The next prime is 10120001161. The reversal of 10120001101 is 10110002101.

It is a cyclic number.

It is not a de Polignac number, because 10120001101 - 2⁵ = 10120001069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120001161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9786 + ... + 142603.

It is an arithmetic number, because the mean of its divisors is an integer number (740615400).

Almost surely, 2^10120001101 is an apocalyptic number.

It is an amenable number.

10120001101 is a deficient number, since it is larger than the sum of its proper divisors (1729845299).

10120001101 is a wasteful number, since it uses less digits than its factorization.

10120001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152628.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10120001101 its reverse (10110002101), we get a palindrome (20230003202).

It can be divided in two parts, 1012000 and 1101, that added together give a palindrome (1013101).

The spelling of 10120001101 in words is "ten billion, one hundred twenty million, one thousand, one hundred one".