103021122120000 has 840 divisors, whose sum is σ = 401804188251840. Its totient is φ = 23215933440000.

The previous prime is 103021122119947. The next prime is 103021122120023. The reversal of 103021122120000 is 21221120301.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×103021122120000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 417356616 + ... + 417603384.

Almost surely, 2^{103021122120000} is an apocalyptic number.

103021122120000 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 103021122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200902094125920).

103021122120000 is an abundant number, since it is smaller than the sum of its proper divisors (298783066131840).

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

103021122120000 is an equidigital number, since it uses as much as digits as its factorization.

103021122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246889 (or 246857 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 103021122120000 its reverse (21221120301), we get a palindrome (103042343240301).

The spelling of 103021122120000 in words is "one hundred three trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty thousand".