101003001000 has 1024 divisors, whose sum is σ = 384296140800. Its totient is φ = 21805056000.

The previous prime is 101003000993. The next prime is 101003001049. The reversal of 101003001000 is 100300101.

It is a super-2 number, since 2×101003001000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 101003001000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1278518961 + ... + 1278519039.

It is an arithmetic number, because the mean of its divisors is an integer number (375289200).

Almost surely, 2^101003001000 is an apocalyptic number.

101003001000 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 101003001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192148070400).

101003001000 is an abundant number, since it is smaller than the sum of its proper divisors (283293139800).

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

101003001000 is a wasteful number, since it uses less digits than its factorization.

101003001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 101003001000 its reverse (100300101), we get a palindrome (101103301101).

The spelling of 101003001000 in words is "one hundred one billion, three million, one thousand".