101034133400 has 24 divisors (see below), whose sum is σ = 234904360620. Its totient is φ = 40413653280.

The previous prime is 101034133397. The next prime is 101034133429. The reversal of 101034133400 is 4331430101.

It is a super-2 number, since 2×101034133400² (a number of 23 digits) contains 22 as substring.

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

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 5 ways as a sum of consecutive naturals, for example, 252585134 + ... + 252585533.

Almost surely, 2^101034133400 is an apocalyptic number.

101034133400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101034133400 is an abundant number, since it is smaller than the sum of its proper divisors (133870227220).

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

101034133400 is a wasteful number, since it uses less digits than its factorization.

101034133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505170683 (or 505170674 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101034133400 its reverse (4331430101), we get a palindrome (105365563501).

The spelling of 101034133400 in words is "one hundred one billion, thirty-four million, one hundred thirty-three thousand, four hundred".