112001001010002 has 96 divisors (see below), whose sum is σ = 261499165527600. Its totient is φ = 34440293615616.

The previous prime is 112001001009959. The next prime is 112001001010007. The reversal of 112001001010002 is 200010100100211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3489382904121 + 108511618105881 = 1867989^2 + 10416891^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112001001010007) 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, 2618476288 + ... + 2618519060.

Almost surely, 2^{112001001010002} is an apocalyptic number.

112001001010002 is an abundant number, since it is smaller than the sum of its proper divisors (149498164517598).

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

112001001010002 is a wasteful number, since it uses less digits than its factorization.

112001001010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49532 (or 49529 counting only the distinct ones).

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

Adding to 112001001010002 its reverse (200010100100211), we get a palindrome (312011101110213).

The spelling of 112001001010002 in words is "one hundred twelve trillion, one billion, one million, ten thousand, two".