2001010100112 has 30 divisors (see below), whose sum is σ = 5600049100022. Its totient is φ = 667003366656.

The previous prime is 2001010100069. The next prime is 2001010100129. The reversal of 2001010100112 is 2110010101002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2000572621056 + 437479056 = 1414416^2 + 20916^2 .

It is a super-4 number, since 4×2001010100112⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001010100094 and 2001010100103.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6947951593 + ... + 6947951880.

Almost surely, 2^{2001010100112} is an apocalyptic number.

It is an amenable number.

2001010100112 is an abundant number, since it is smaller than the sum of its proper divisors (3599038999910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001010100112 is a wasteful number, since it uses less digits than its factorization.

2001010100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13895903487 (or 13895903478 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001010100112 its reverse (2110010101002), we get a palindrome (4111020201114).

The spelling of 2001010100112 in words is "two trillion, one billion, ten million, one hundred thousand, one hundred twelve".