10101144110101 has 16 divisors (see below), whose sum is σ = 11808205593408. Its totient is φ = 8538561337600.

The previous prime is 10101144110023. The next prime is 10101144110269.

10101144110101 is nontrivially palindromic in base 10.

10101144110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10101144110101 - 2¹⁵ = 10101144077333 is a prime.

It is a super-2 number, since 2×10101144110101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101144110501) 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, 325386970 + ... + 325418011.

It is an arithmetic number, because the mean of its divisors is an integer number (738012849588).

Almost surely, 2^{10101144110101} is an apocalyptic number.

10101144110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101144110101 is a deficient number, since it is larger than the sum of its proper divisors (1707061483307).

10101144110101 is a wasteful number, since it uses less digits than its factorization.

10101144110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650805092.

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 1010114 and 4110101, that added together give a palindrome (5120215).

The spelling of 10101144110101 in words is "ten trillion, one hundred one billion, one hundred forty-four million, one hundred ten thousand, one hundred one".