210201100032 has 432 divisors, whose sum is σ = 711955222272. Its totient is φ = 54442967040.

The previous prime is 210201100027. The next prime is 210201100069. The reversal of 210201100032 is 230001102012.

It is a super-3 number, since 3×210201100032³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210201099990 and 210201100017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255407973 + ... + 255408795.

It is an arithmetic number, because the mean of its divisors is an integer number (1648044496).

Almost surely, 2^210201100032 is an apocalyptic number.

210201100032 is a gapful number since it is divisible by the number (22) 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 210201100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355977611136).

210201100032 is an abundant number, since it is smaller than the sum of its proper divisors (501754122240).

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

210201100032 is a wasteful number, since it uses less digits than its factorization.

210201100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 210201100032 its reverse (230001102012), we get a palindrome (440202202044).

The spelling of 210201100032 in words is "two hundred ten billion, two hundred one million, one hundred thousand, thirty-two".