1000101442312 has 64 divisors (see below), whose sum is σ = 2170639296000. Its totient is φ = 423104138496.

The previous prime is 1000101442231. The next prime is 1000101442331. The reversal of 1000101442312 is 2132441010001.

It is a self number, because there is not a number n which added to its sum of digits gives 1000101442312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25059718 + ... + 25099594.

It is an arithmetic number, because the mean of its divisors is an integer number (33916239000).

Almost surely, 2^{1000101442312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000101442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085319648000).

1000101442312 is an abundant number, since it is smaller than the sum of its proper divisors (1170537853688).

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

1000101442312 is a wasteful number, since it uses less digits than its factorization.

1000101442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45638 (or 45634 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1000101442312 its reverse (2132441010001), we get a palindrome (3132542452313).

The spelling of 1000101442312 in words is "one trillion, one hundred one million, four hundred forty-two thousand, three hundred twelve".