32100201210000 has 3200 divisors, whose sum is σ = 143864380661760. Its totient is φ = 5960908800000.

The previous prime is 32100201209977. The next prime is 32100201210023. The reversal of 32100201210000 is 1210200123.

It is an interprime number because it is at equal distance from previous prime (32100201209977) and next prime (32100201210023).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 80856929802 + ... + 80856930198.

Almost surely, 2^{32100201210000} is an apocalyptic number.

32100201210000 is a gapful number since it is divisible by the number (30) 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 32100201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71932190330880).

32100201210000 is an abundant number, since it is smaller than the sum of its proper divisors (111764179451760).

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

32100201210000 is a wasteful number, since it uses less digits than its factorization.

32100201210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

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

Adding to 32100201210000 its reverse (1210200123), we get a palindrome (32101411410123).

The spelling of 32100201210000 in words is "thirty-two trillion, one hundred billion, two hundred one million, two hundred ten thousand".