101030121000 has 192 divisors, whose sum is σ = 341833798800. Its totient is φ = 26913600000.

The previous prime is 101030120993. The next prime is 101030121001. The reversal of 101030121000 is 121030101.

It can be written as a sum of positive squares in 8 ways, for example, as 336869316 + 100693251684 = 18354^2 + 317322^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101030121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9615750 + ... + 9626250.

Almost surely, 2^101030121000 is an apocalyptic number.

101030121000 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 101030121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170916899400).

101030121000 is an abundant number, since it is smaller than the sum of its proper divisors (240803677800).

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

101030121000 is a wasteful number, since it uses less digits than its factorization.

101030121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597 (or 11580 counting only the distinct ones).

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

Adding to 101030121000 its reverse (121030101), we get a palindrome (101151151101).

It can be divided in two parts, 1010301 and 21000, that added together give a palindrome (1031301).

The spelling of 101030121000 in words is "one hundred one billion, thirty million, one hundred twenty-one thousand".