201131422034100 has 288 divisors, whose sum is σ = 600603587243520. Its totient is φ = 51929787087360.

The previous prime is 201131422034027. The next prime is 201131422034113. The reversal of 201131422034100 is 1430224131102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1863602739 + ... + 1863710661.

Almost surely, 2^{201131422034100} is an apocalyptic number.

201131422034100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201131422034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300301793621760).

201131422034100 is an abundant number, since it is smaller than the sum of its proper divisors (399472165209420).

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

201131422034100 is a wasteful number, since it uses less digits than its factorization.

201131422034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108799 (or 108792 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201131422034100 its reverse (1430224131102), we get a palindrome (202561646165202).

The spelling of 201131422034100 in words is "two hundred one trillion, one hundred thirty-one billion, four hundred twenty-two million, thirty-four thousand, one hundred".