10100134044 has 288 divisors, whose sum is σ = 36297870336. Its totient is φ = 2279024640.

The previous prime is 10100134013. The next prime is 10100134091. The reversal of 10100134044 is 44043100101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 604369 + ... + 620855.

It is an arithmetic number, because the mean of its divisors is an integer number (126034272).

Almost surely, 2^10100134044 is an apocalyptic number.

10100134044 is a gapful number since it is divisible by the number (14) 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 10100134044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148935168).

10100134044 is an abundant number, since it is smaller than the sum of its proper divisors (26197736292).

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

10100134044 is a wasteful number, since it uses less digits than its factorization.

10100134044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16545 (or 16540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10100134044 its reverse (44043100101), we get a palindrome (54143234145).

The spelling of 10100134044 in words is "ten billion, one hundred million, one hundred thirty-four thousand, forty-four".