201100413030 has 128 divisors (see below), whose sum is σ = 530601394176. Its totient is φ = 48374524800.

The previous prime is 201100413023. The next prime is 201100413077. The reversal of 201100413030 is 30314001102.

It is a super-2 number, since 2×201100413030² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34771519 + ... + 34777301.

It is an arithmetic number, because the mean of its divisors is an integer number (4145323392).

Almost surely, 2^201100413030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201100413030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265300697088).

201100413030 is an abundant number, since it is smaller than the sum of its proper divisors (329500981146).

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

201100413030 is a wasteful number, since it uses less digits than its factorization.

201100413030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201100413030 its reverse (30314001102), we get a palindrome (231414414132).

The spelling of 201100413030 in words is "two hundred one billion, one hundred million, four hundred thirteen thousand, thirty".