103121211000 has 128 divisors (see below), whose sum is σ = 323788944960. Its totient is φ = 27323712000.

The previous prime is 103121210981. The next prime is 103121211001. The reversal of 103121211000 is 112121301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361530 + ... + 580470.

Almost surely, 2^103121211000 is an apocalyptic number.

103121211000 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 103121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161894472480).

103121211000 is an abundant number, since it is smaller than the sum of its proper divisors (220667733960).

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

103121211000 is a wasteful number, since it uses less digits than its factorization.

103121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219122 (or 219108 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 103121211000 its reverse (112121301), we get a palindrome (103233332301).

The spelling of 103121211000 in words is "one hundred three billion, one hundred twenty-one million, two hundred eleven thousand".