201432403100 has 72 divisors (see below), whose sum is σ = 445107823776. Its totient is φ = 79107840000.

The previous prime is 201432403063. The next prime is 201432403201. The reversal of 201432403100 is 1304234102.

201432403100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201432403100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652240 + ... + 1769960.

It is an arithmetic number, because the mean of its divisors is an integer number (6182053108).

Almost surely, 2^201432403100 is an apocalyptic number.

201432403100 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 201432403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222553911888).

201432403100 is an abundant number, since it is smaller than the sum of its proper divisors (243675420676).

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

201432403100 is a wasteful number, since it uses less digits than its factorization.

201432403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118047 (or 118040 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 201432403100 its reverse (1304234102), we get a palindrome (202736637202).

The spelling of 201432403100 in words is "two hundred one billion, four hundred thirty-two million, four hundred three thousand, one hundred".