1010000210112 has 336 divisors, whose sum is σ = 3023373330432. Its totient is φ = 322069063680.

The previous prime is 1010000209973. The next prime is 1010000210113. The reversal of 1010000210112 is 2110120000101.

It is a happy number.

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 = 1010000210094 and 1010000210103.

It is not an unprimeable number, because it can be changed into a prime (1010000210113) 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, 761114793 + ... + 761116119.

It is an arithmetic number, because the mean of its divisors is an integer number (8998134912).

Almost surely, 2^{1010000210112} is an apocalyptic number.

1010000210112 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 1010000210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511686665216).

1010000210112 is an abundant number, since it is smaller than the sum of its proper divisors (2013373120320).

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

1010000210112 is a wasteful number, since it uses less digits than its factorization.

1010000210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1943 counting only the distinct ones).

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

Adding to 1010000210112 its reverse (2110120000101), we get a palindrome (3120120210213).

The spelling of 1010000210112 in words is "one trillion, ten billion, two hundred ten thousand, one hundred twelve".