134224202100 has 288 divisors, whose sum is σ = 423132667776. Its totient is φ = 32724172800.

The previous prime is 134224202023. The next prime is 134224202131. The reversal of 134224202100 is 1202422431.

It is a super-2 number, since 2×134224202100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24941410 + ... + 24946790.

It is an arithmetic number, because the mean of its divisors is an integer number (1469210652).

Almost surely, 2^134224202100 is an apocalyptic number.

134224202100 is a gapful number since it is divisible by the number (10) 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 134224202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211566333888).

134224202100 is an abundant number, since it is smaller than the sum of its proper divisors (288908465676).

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

134224202100 is a wasteful number, since it uses less digits than its factorization.

134224202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 134224202100 its reverse (1202422431), we get a palindrome (135426624531).

The spelling of 134224202100 in words is "one hundred thirty-four billion, two hundred twenty-four million, two hundred two thousand, one hundred".