201001021001100 has 144 divisors (see below), whose sum is σ = 646192362743200. Its totient is φ = 53599334722560.

The previous prime is 201001021001093. The next prime is 201001021001113. The reversal of 201001021001100 is 1100120100102.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161187192 + ... + 162429408.

Almost surely, 2^{201001021001100} is an apocalyptic number.

201001021001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001021001100 is an abundant number, since it is smaller than the sum of its proper divisors (445191341742100).

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

201001021001100 is a wasteful number, since it uses less digits than its factorization.

201001021001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302169 (or 1302156 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201001021001100 its reverse (1100120100102), we get a palindrome (202101141101202).

The spelling of 201001021001100 in words is "two hundred one trillion, one billion, twenty-one million, one thousand, one hundred".