32123342010100 has 288 divisors, whose sum is σ = 78660565401600. Its totient is φ = 11286475200000.

The previous prime is 32123342010049. The next prime is 32123342010139. The reversal of 32123342010100 is 101024332123.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 7723811821 + ... + 7723815979.

It is an arithmetic number, because the mean of its divisors is an integer number (273126963200).

Almost surely, 2^{32123342010100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32123342010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39330282700800).

32123342010100 is an abundant number, since it is smaller than the sum of its proper divisors (46537223391500).

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

32123342010100 is a wasteful number, since it uses less digits than its factorization.

32123342010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6255 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 32123342010100 its reverse (101024332123), we get a palindrome (32224366342223).

The spelling of 32123342010100 in words is "thirty-two trillion, one hundred twenty-three billion, three hundred forty-two million, ten thousand, one hundred".