10112100100101 has 48 divisors (see below), whose sum is σ = 15922318142016. Its totient is φ = 6159271684608.

The previous prime is 10112100100099. The next prime is 10112100100103. The reversal of 10112100100101 is 10100100121101.

It is an interprime number because it is at equal distance from previous prime (10112100100099) and next prime (10112100100103).

It is not a de Polignac number, because 10112100100101 - 2¹ = 10112100100099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112100100103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3642430 + ... + 5787183.

It is an arithmetic number, because the mean of its divisors is an integer number (331714961292).

Almost surely, 2^{10112100100101} is an apocalyptic number.

It is an amenable number.

10112100100101 is a deficient number, since it is larger than the sum of its proper divisors (5810218041915).

10112100100101 is a wasteful number, since it uses less digits than its factorization.

10112100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429842 (or 9429839 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10112100100101 its reverse (10100100121101), we get a palindrome (20212200221202).

The spelling of 10112100100101 in words is "ten trillion, one hundred twelve billion, one hundred million, one hundred thousand, one hundred one".