101034100 has 36 divisors (see below), whose sum is σ = 220728928. Its totient is φ = 40140000.

The previous prime is 101034079. The next prime is 101034103. The reversal of 101034100 is 1430101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101034103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11755 + ... + 18445.

Almost surely, 2^101034100 is an apocalyptic number.

101034100 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 101034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110364464).

101034100 is an abundant number, since it is smaller than the sum of its proper divisors (119694828).

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

101034100 is a wasteful number, since it uses less digits than its factorization.

101034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101034100 is about 10051.5720163564. The cubic root of 101034100 is about 465.7533554522.

Adding to 101034100 its reverse (1430101), we get a palindrome (102464201).

The spelling of 101034100 in words is "one hundred one million, thirty-four thousand, one hundred".