1000112100101 has 32 divisors (see below), whose sum is σ = 1058686599168. Its totient is φ = 942891822400.

The previous prime is 1000112099999. The next prime is 1000112100151. The reversal of 1000112100101 is 1010012110001.

It is a happy number.

1000112100101 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 1000112100101 - 2³⁸ = 725234193157 is a prime.

It is a super-4 number, since 4×1000112100101⁴ (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000112100151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 842553830 + ... + 842555016.

It is an arithmetic number, because the mean of its divisors is an integer number (33083956224).

Almost surely, 2^{1000112100101} is an apocalyptic number.

It is an amenable number.

1000112100101 is a deficient number, since it is larger than the sum of its proper divisors (58574499067).

1000112100101 is a wasteful number, since it uses less digits than its factorization.

1000112100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1000112100101 its reverse (1010012110001), we get a palindrome (2010124210102).

The spelling of 1000112100101 in words is "one trillion, one hundred twelve million, one hundred thousand, one hundred one".