201001002000 has 160 divisors (see below), whose sum is σ = 676202791680. Its totient is φ = 51269785600.

The previous prime is 201001001987. The next prime is 201001002043. The reversal of 201001002000 is 200100102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 201001002000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590265 + ... + 866264.

It is an arithmetic number, because the mean of its divisors is an integer number (4226267448).

Almost surely, 2^201001002000 is an apocalyptic number.

201001002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001002000 is an abundant number, since it is smaller than the sum of its proper divisors (475201789680).

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

201001002000 is a wasteful number, since it uses less digits than its factorization.

201001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456578 (or 1456562 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 201001002000 its reverse (200100102), we get a palindrome (201201102102).

The spelling of 201001002000 in words is "two hundred one billion, one million, two thousand".