201000001021000 has 64 divisors (see below), whose sum is σ = 470432473505280. Its totient is φ = 80384193380800.

The previous prime is 201000001020937. The next prime is 201000001021063. The reversal of 201000001021000 is 120100000102.

201000001021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201000001020937) and next prime (201000001021063).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14669242 + ... + 24843241.

It is an arithmetic number, because the mean of its divisors is an integer number (7350507398520).

Almost surely, 2^{201000001021000} is an apocalyptic number.

201000001021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000001021000 is an abundant number, since it is smaller than the sum of its proper divisors (269432472484280).

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

201000001021000 is a wasteful number, since it uses less digits than its factorization.

201000001021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39517591 (or 39517577 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 201000001021000 its reverse (120100000102), we get a palindrome (201120101021102).

The spelling of 201000001021000 in words is "two hundred one trillion, one million, twenty-one thousand".