10101111120001 has 16 divisors (see below), whose sum is σ = 11031033657600. Its totient is φ = 9173131113600.

The previous prime is 10101111119987. The next prime is 10101111120013. The reversal of 10101111120001 is 10002111110101.

It is a cyclic number.

It is not a de Polignac number, because 10101111120001 - 2⁷ = 10101111119873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101111120001.

It is not an unprimeable number, because it can be changed into a prime (10101111120041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83392840 + ... + 83513878.

It is an arithmetic number, because the mean of its divisors is an integer number (689439603600).

Almost surely, 2^{10101111120001} is an apocalyptic number.

10101111120001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101111120001 is a deficient number, since it is larger than the sum of its proper divisors (929922537599).

10101111120001 is a wasteful number, since it uses less digits than its factorization.

10101111120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129000.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10101111120001 its reverse (10002111110101), we get a palindrome (20103222230102).

The spelling of 10101111120001 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred twenty thousand, one".