201101101101102 has 32 divisors (see below), whose sum is σ = 413848258935840. Its totient is φ = 65117736195200.

The previous prime is 201101101101071. The next prime is 201101101101163.

201101101101102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×201101101101102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3130628277 + ... + 3130692512.

It is an arithmetic number, because the mean of its divisors is an integer number (12932758091745).

Almost surely, 2^{201101101101102} is an apocalyptic number.

201101101101102 is an abundant number, since it is smaller than the sum of its proper divisors (212747157834738).

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

201101101101102 is a wasteful number, since it uses less digits than its factorization.

201101101101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261320948.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 20110110 and 1101102, that added together give a palindrome (21211212).

The spelling of 201101101101102 in words is "two hundred one trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred two".