201001101100102 has 64 divisors (see below), whose sum is σ = 319682900275200. Its totient is φ = 94520206692000.

The previous prime is 201001101100061. The next prime is 201001101100109.

201001101100102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001101100109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3822813649 + ... + 3822866227.

It is an arithmetic number, because the mean of its divisors is an integer number (4995045316800).

Almost surely, 2^{201001101100102} is an apocalyptic number.

201001101100102 is a deficient number, since it is larger than the sum of its proper divisors (118681799175098).

201001101100102 is a wasteful number, since it uses less digits than its factorization.

201001101100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54161.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 20100110 and 1100102, that added together give a palindrome (21200212).

The spelling of 201001101100102 in words is "two hundred one trillion, one billion, one hundred one million, one hundred thousand, one hundred two".