101002112110101 has 16 divisors (see below), whose sum is σ = 136135709522624. Its totient is φ = 66602422761984.

The previous prime is 101002112110093. The next prime is 101002112110177. The reversal of 101002112110101 is 101011211200101.

It is not a de Polignac number, because 101002112110101 - 2³ = 101002112110093 is a prime.

It is a super-2 number, since 2×101002112110101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002112110901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98829430 + ... + 99846183.

It is an arithmetic number, because the mean of its divisors is an integer number (8508481845164).

Almost surely, 2^{101002112110101} is an apocalyptic number.

It is an amenable number.

101002112110101 is a deficient number, since it is larger than the sum of its proper divisors (35133597412523).

101002112110101 is a wasteful number, since it uses less digits than its factorization.

101002112110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198677460.

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

Adding to 101002112110101 its reverse (101011211200101), we get a palindrome (202013323310202).

The spelling of 101002112110101 in words is "one hundred one trillion, two billion, one hundred twelve million, one hundred ten thousand, one hundred one".