101112112010001 has 128 divisors (see below), whose sum is σ = 144674449920000. Its totient is φ = 62712274867200.

The previous prime is 101112112009903. The next prime is 101112112010027. The reversal of 101112112010001 is 100010211211101.

It is not a de Polignac number, because 101112112010001 - 2¹⁴ = 101112111993617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112112010071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28032188940 + ... + 28032192546.

It is an arithmetic number, because the mean of its divisors is an integer number (1130269140000).

Almost surely, 2^{101112112010001} is an apocalyptic number.

It is an amenable number.

101112112010001 is a deficient number, since it is larger than the sum of its proper divisors (43562337909999).

101112112010001 is a wasteful number, since it uses less digits than its factorization.

101112112010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327.

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

Adding to 101112112010001 its reverse (100010211211101), we get a palindrome (201122323221102).

The spelling of 101112112010001 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, ten thousand, one".