32100113100000 has 576 divisors, whose sum is σ = 115292070835200. Its totient is φ = 7755052800000.

The previous prime is 32100113099953. The next prime is 32100113100023. The reversal of 32100113100000 is 131100123.

It is a super-2 number, since 2×32100113100000² (a number of 28 digits) contains 22 as substring.

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

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, 966883401 + ... + 966916599.

It is an arithmetic number, because the mean of its divisors is an integer number (200159845200).

Almost surely, 2^{32100113100000} is an apocalyptic number.

32100113100000 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 32100113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57646035417600).

32100113100000 is an abundant number, since it is smaller than the sum of its proper divisors (83191957735200).

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

32100113100000 is a wasteful number, since it uses less digits than its factorization.

32100113100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33541 (or 33513 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 32100113100000 its reverse (131100123), we get a palindrome (32100244200123).

The spelling of 32100113100000 in words is "thirty-two trillion, one hundred billion, one hundred thirteen million, one hundred thousand".