10111344610101 has 16 divisors (see below), whose sum is σ = 15409226638848. Its totient is φ = 5777362422000.

The previous prime is 10111344610079. The next prime is 10111344610111. The reversal of 10111344610101 is 10101644311101.

It is not a de Polignac number, because 10111344610101 - 2¹³ = 10111344601909 is a prime.

It is a super-2 number, since 2×10111344610101² (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 (10111344610111) 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, 22639575 + ... + 23081876.

It is an arithmetic number, because the mean of its divisors is an integer number (963076664928).

Almost surely, 2^{10111344610101} is an apocalyptic number.

It is an amenable number.

10111344610101 is a deficient number, since it is larger than the sum of its proper divisors (5297882028747).

10111344610101 is a wasteful number, since it uses less digits than its factorization.

10111344610101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45731992.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 10111344610101 its reverse (10101644311101), we get a palindrome (20212988921202).

The spelling of 10111344610101 in words is "ten trillion, one hundred eleven billion, three hundred forty-four million, six hundred ten thousand, one hundred one".