34101221220 has 216 divisors, whose sum is σ = 116875100160. Its totient is φ = 7981505280.

The previous prime is 34101221207. The next prime is 34101221237. The reversal of 34101221220 is 2212210143.

It is a happy number.

34101221220 is a `hidden beast` number, since 3 + 410 + 12 + 21 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34101221193 and 34101221202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1654941 + ... + 1675419.

Almost surely, 2^34101221220 is an apocalyptic number.

34101221220 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 34101221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58437550080).

34101221220 is an abundant number, since it is smaller than the sum of its proper divisors (82773878940).

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

34101221220 is a wasteful number, since it uses less digits than its factorization.

34101221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20563 (or 20529 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34101221220 its reverse (2212210143), we get a palindrome (36313431363).

The spelling of 34101221220 in words is "thirty-four billion, one hundred one million, two hundred twenty-one thousand, two hundred twenty".