101134350000 has 180 divisors, whose sum is σ = 353773575792. Its totient is φ = 26969040000.

The previous prime is 101134349989. The next prime is 101134350029. The reversal of 101134350000 is 53431101.

101134350000 is a `hidden beast` number, since 10 + 113 + 43 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337629 + ... + 562371.

Almost surely, 2^101134350000 is an apocalyptic number.

101134350000 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 101134350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176886787896).

101134350000 is an abundant number, since it is smaller than the sum of its proper divisors (252639225792).

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

101134350000 is an equidigital number, since it uses as much as digits as its factorization.

101134350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224782 (or 224753 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 101134350000 its reverse (53431101), we get a palindrome (101187781101).

The spelling of 101134350000 in words is "one hundred one billion, one hundred thirty-four million, three hundred fifty thousand".