34021232400100 has 288 divisors, whose sum is σ = 82912064538240. Its totient is φ = 12009727488000.

The previous prime is 34021232400097. The next prime is 34021232400101. The reversal of 34021232400100 is 100423212043.

It is a super-2 number, since 2×34021232400100² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34021232400101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15007159167 + ... + 15007161433.

It is an arithmetic number, because the mean of its divisors is an integer number (287889112980).

Almost surely, 2^{34021232400100} 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 34021232400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456032269120).

34021232400100 is an abundant number, since it is smaller than the sum of its proper divisors (48890832138140).

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

34021232400100 is a wasteful number, since it uses less digits than its factorization.

34021232400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34021232400100 its reverse (100423212043), we get a palindrome (34121655612143).

The spelling of 34021232400100 in words is "thirty-four trillion, twenty-one billion, two hundred thirty-two million, four hundred thousand, one hundred".