1010001002112 has 96 divisors (see below), whose sum is σ = 2908628245380. Its totient is φ = 336406929408.

The previous prime is 1010001002107. The next prime is 1010001002147. The reversal of 1010001002112 is 2112001000101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 553857454656 + 456143547456 = 744216^2 + 675384^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1010001002094 and 1010001002103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1156158 + ... + 1832130.

Almost surely, 2^{1010001002112} is an apocalyptic number.

1010001002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010001002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454314122690).

1010001002112 is an abundant number, since it is smaller than the sum of its proper divisors (1898627243268).

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

1010001002112 is a wasteful number, since it uses less digits than its factorization.

1010001002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677290 (or 677275 counting only the distinct ones).

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

Adding to 1010001002112 its reverse (2112001000101), we get a palindrome (3122002002213).

The spelling of 1010001002112 in words is "one trillion, ten billion, one million, two thousand, one hundred twelve".