201001101002000 has 80 divisors (see below), whose sum is σ = 523406867076912. Its totient is φ = 74215791129600.

The previous prime is 201001101001919. The next prime is 201001101002057. The reversal of 201001101002000 is 200101100102.

201001101002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 49476424466704 + 151524676535296 = 7033948^2 + 12309536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×201001101002000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 3865379789 + ... + 3865431788.

Almost surely, 2^{201001101002000} is an apocalyptic number.

201001101002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001101002000 is an abundant number, since it is smaller than the sum of its proper divisors (322405766074912).

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

201001101002000 is a wasteful number, since it uses less digits than its factorization.

201001101002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730811613 (or 7730811597 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201001101002000 its reverse (200101100102), we get a palindrome (201201202102102).

The spelling of 201001101002000 in words is "two hundred one trillion, one billion, one hundred one million, two thousand".