10110012211101 has 128 divisors (see below), whose sum is σ = 16150259367936. Its totient is φ = 5555408302080.

The previous prime is 10110012211099. The next prime is 10110012211111. The reversal of 10110012211101 is 10111221001101.

It is not a de Polignac number, because 10110012211101 - 2¹ = 10110012211099 is a prime.

It is a super-2 number, since 2×10110012211101² (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 (10110012211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1378697031 + ... + 1378704363.

It is an arithmetic number, because the mean of its divisors is an integer number (126173901312).

Almost surely, 2^{10110012211101} is an apocalyptic number.

10110012211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110012211101 is a deficient number, since it is larger than the sum of its proper divisors (6040247156835).

10110012211101 is a wasteful number, since it uses less digits than its factorization.

10110012211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10110012211101 its reverse (10111221001101), we get a palindrome (20221233212202).

The spelling of 10110012211101 in words is "ten trillion, one hundred ten billion, twelve million, two hundred eleven thousand, one hundred one".