1003151022000 has 160 divisors (see below), whose sum is σ = 3236263580160. Its totient is φ = 267332857600.

The previous prime is 1003151021923. The next prime is 1003151022023. The reversal of 1003151022000 is 2201513001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9300379 + ... + 9407621.

It is an arithmetic number, because the mean of its divisors is an integer number (20226647376).

Almost surely, 2^{1003151022000} is an apocalyptic number.

1003151022000 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 1003151022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618131790080).

1003151022000 is an abundant number, since it is smaller than the sum of its proper divisors (2233112558160).

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

1003151022000 is a wasteful number, since it uses less digits than its factorization.

1003151022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108828 (or 108812 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 1003151022000 its reverse (2201513001), we get a palindrome (1005352535001).

The spelling of 1003151022000 in words is "one trillion, three billion, one hundred fifty-one million, twenty-two thousand".