101129000 has 64 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 34670400.

The previous prime is 101128997. The next prime is 101129027. The reversal of 101129000 is 921101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 224 + ... + 14223.

It is an arithmetic number, because the mean of its divisors is an integer number (4226040).

Almost surely, 2^101129000 is an apocalyptic number.

101129000 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 101129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

101129000 is an abundant number, since it is smaller than the sum of its proper divisors (169337560).

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

101129000 is a wasteful number, since it uses less digits than its factorization.

101129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475 (or 14461 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 101129000 is about 10056.2915629968. The cubic root of 101129000 is about 465.8991351504.

The spelling of 101129000 in words is "one hundred one million, one hundred twenty-nine thousand".