1001020120002 has 96 divisors (see below), whose sum is σ = 2516819370624. Its totient is φ = 281613024000.

The previous prime is 1001020119943. The next prime is 1001020120123. The reversal of 1001020120002 is 2000210201001.

1001020120002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20075502 + ... + 20125302.

It is an arithmetic number, because the mean of its divisors is an integer number (26216868444).

Almost surely, 2^{1001020120002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001020120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258409685312).

1001020120002 is an abundant number, since it is smaller than the sum of its proper divisors (1515799250622).

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

1001020120002 is a wasteful number, since it uses less digits than its factorization.

1001020120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52264 (or 52261 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001020120002 its reverse (2000210201001), we get a palindrome (3001230321003).

The spelling of 1001020120002 in words is "one trillion, one billion, twenty million, one hundred twenty thousand, two".