10001012122002 has 128 divisors (see below), whose sum is σ = 23439404077056. Its totient is φ = 2810958080000.

The previous prime is 10001012121959. The next prime is 10001012122009. The reversal of 10001012122002 is 20022121010001.

It is not an unprimeable number, because it can be changed into a prime (10001012122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194429227 + ... + 194480657.

It is an arithmetic number, because the mean of its divisors is an integer number (183120344352).

Almost surely, 2^{10001012122002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001012122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11719702038528).

10001012122002 is an abundant number, since it is smaller than the sum of its proper divisors (13438391955054).

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

10001012122002 is a wasteful number, since it uses less digits than its factorization.

10001012122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53976.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001012122002 its reverse (20022121010001), we get a palindrome (30023133132003).

The spelling of 10001012122002 in words is "ten trillion, one billion, twelve million, one hundred twenty-two thousand, two".