103001121000 has 192 divisors, whose sum is σ = 350689182480. Its totient is φ = 27266150400.

The previous prime is 103001120953. The next prime is 103001121029. The reversal of 103001121000 is 121100301.

It can be written as a sum of positive squares in 8 ways, for example, as 33092703396 + 69908417604 = 181914^2 + 264402^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1191232 + ... + 1274768.

Almost surely, 2^103001121000 is an apocalyptic number.

103001121000 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 103001121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175344591240).

103001121000 is an abundant number, since it is smaller than the sum of its proper divisors (247688061480).

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

103001121000 is a wasteful number, since it uses less digits than its factorization.

103001121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83701 (or 83684 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 103001121000 its reverse (121100301), we get a palindrome (103122221301).

The spelling of 103001121000 in words is "one hundred three billion, one million, one hundred twenty-one thousand".