34212421100 has 144 divisors (see below), whose sum is σ = 89250120960. Its totient is φ = 11216620800.

The previous prime is 34212421049. The next prime is 34212421123. The reversal of 34212421100 is 112421243.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 587081 + ... + 642719.

Almost surely, 2^34212421100 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 34212421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44625060480).

34212421100 is an abundant number, since it is smaller than the sum of its proper divisors (55037699860).

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

34212421100 is a wasteful number, since it uses less digits than its factorization.

34212421100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55720 (or 55713 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34212421100 its reverse (112421243), we get a palindrome (34324842343).

The spelling of 34212421100 in words is "thirty-four billion, two hundred twelve million, four hundred twenty-one thousand, one hundred".