201021010002 has 96 divisors (see below), whose sum is σ = 469005638400. Its totient is φ = 62025917184.

The previous prime is 201021009997. The next prime is 201021010007. The reversal of 201021010002 is 200010120102.

It is an interprime number because it is at equal distance from previous prime (201021009997) and next prime (201021010007).

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 (201021010007) 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, 9907524 + ... + 9927792.

It is an arithmetic number, because the mean of its divisors is an integer number (4885475400).

Almost surely, 2^201021010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234502819200).

201021010002 is an abundant number, since it is smaller than the sum of its proper divisors (267984628398).

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

201021010002 is a wasteful number, since it uses less digits than its factorization.

201021010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20960 (or 20957 counting only the distinct ones).

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

Adding to 201021010002 its reverse (200010120102), we get a palindrome (401031130104).

The spelling of 201021010002 in words is "two hundred one billion, twenty-one million, ten thousand, two".