10142014412101 has 16 divisors (see below), whose sum is σ = 12168606498048. Its totient is φ = 8329700865600.

The previous prime is 10142014412077. The next prime is 10142014412111. The reversal of 10142014412101 is 10121441024101.

10142014412101 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 10142014412101 - 2⁷ = 10142014411973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142014412111) 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, 754495170 + ... + 754508611.

It is an arithmetic number, because the mean of its divisors is an integer number (760537906128).

Almost surely, 2^{10142014412101} is an apocalyptic number.

10142014412101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10142014412101 is a deficient number, since it is larger than the sum of its proper divisors (2026592085947).

10142014412101 is a wasteful number, since it uses less digits than its factorization.

10142014412101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509003852.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 10142014412101 its reverse (10121441024101), we get a palindrome (20263455436202).

The spelling of 10142014412101 in words is "ten trillion, one hundred forty-two billion, fourteen million, four hundred twelve thousand, one hundred one".