1002112010010 has 80 divisors (see below), whose sum is σ = 2696814070632. Its totient is φ = 267007104000.

The previous prime is 1002112009967. The next prime is 1002112010021. The reversal of 1002112010010 is 100102112001.

It is a happy number.

1002112010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 289727057169 + 712384952841 = 538263^2 + 844029^2 .

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 = 1002112009974 and 1002112010001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 457750 + ... + 1487870.

Almost surely, 2^{1002112010010} is an apocalyptic number.

1002112010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002112010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348407035316).

1002112010010 is an abundant number, since it is smaller than the sum of its proper divisors (1694702060622).

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

1002112010010 is a wasteful number, since it uses less digits than its factorization.

1002112010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031341 (or 1031332 counting only the distinct ones).

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

Adding to 1002112010010 its reverse (100102112001), we get a palindrome (1102214122011).

The spelling of 1002112010010 in words is "one trillion, two billion, one hundred twelve million, ten thousand, ten".