201131101131102 has 192 divisors, whose sum is σ = 479662675038144. Its totient is φ = 60649313587200.

The previous prime is 201131101131083. The next prime is 201131101131199.

201131101131102 is a `hidden beast` number, since 20 + 11 + 311 + 0 + 11 + 311 + 0 + 2 = 666.

201131101131102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 506381728 + ... + 506778764.

It is an arithmetic number, because the mean of its divisors is an integer number (2498243099157).

Almost surely, 2^{201131101131102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201131101131102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239831337519072).

201131101131102 is an abundant number, since it is smaller than the sum of its proper divisors (278531573907042).

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

201131101131102 is a wasteful number, since it uses less digits than its factorization.

201131101131102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397643 (or 397640 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 20113110 and 1131102, that added together give a palindrome (21244212).

The spelling of 201131101131102 in words is "two hundred one trillion, one hundred thirty-one billion, one hundred one million, one hundred thirty-one thousand, one hundred two".