201100001101002 has 16 divisors (see below), whose sum is σ = 446888891335680. Its totient is φ = 67033333700316.

The previous prime is 201100001101001. The next prime is 201100001101091. The reversal of 201100001101002 is 200101100001102.

It is a happy number.

It is a super-2 number, since 2×201100001101002² (a number of 29 digits) contains 22 as substring.

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 (201100001101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1862037047178 + ... + 1862037047285.

It is an arithmetic number, because the mean of its divisors is an integer number (27930555708480).

Almost surely, 2^{201100001101002} is an apocalyptic number.

201100001101002 is an abundant number, since it is smaller than the sum of its proper divisors (245788890234678).

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

201100001101002 is a wasteful number, since it uses less digits than its factorization.

201100001101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724074094474 (or 3724074094468 counting only the distinct ones).

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

Adding to 201100001101002 its reverse (200101100001102), we get a palindrome (401201101102104).

The spelling of 201100001101002 in words is "two hundred one trillion, one hundred billion, one million, one hundred one thousand, two".