10201002010002 has 48 divisors (see below), whose sum is σ = 22258947372480. Its totient is φ = 3376235628000.

The previous prime is 10201002009997. The next prime is 10201002010007. The reversal of 10201002010002 is 20001020010201.

It is an interprime number because it is at equal distance from previous prime (10201002009997) and next prime (10201002010007).

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

It is not an unprimeable number, because it can be changed into a prime (10201002010007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4942749 + ... + 6695727.

It is an arithmetic number, because the mean of its divisors is an integer number (463728070260).

Almost surely, 2^{10201002010002} is an apocalyptic number.

10201002010002 is an abundant number, since it is smaller than the sum of its proper divisors (12057945362478).

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

10201002010002 is a wasteful number, since it uses less digits than its factorization.

10201002010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755279 (or 1755276 counting only the distinct ones).

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

Adding to 10201002010002 its reverse (20001020010201), we get a palindrome (30202022020203).

The spelling of 10201002010002 in words is "ten trillion, two hundred one billion, two million, ten thousand, two".