10203121013100 has 144 divisors (see below), whose sum is σ = 29663961384960. Its totient is φ = 2707673830400.

The previous prime is 10203121013089. The next prime is 10203121013123. The reversal of 10203121013100 is 131012130201.

It is a happy number.

10203121013100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10203121013100² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10203121013100.

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, 111304285 + ... + 111395915.

It is an arithmetic number, because the mean of its divisors is an integer number (205999731840).

Almost surely, 2^{10203121013100} is an apocalyptic number.

10203121013100 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 10203121013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831980692480).

10203121013100 is an abundant number, since it is smaller than the sum of its proper divisors (19460840371860).

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

10203121013100 is a wasteful number, since it uses less digits than its factorization.

10203121013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93440 (or 93433 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10203121013100 its reverse (131012130201), we get a palindrome (10334133143301).

The spelling of 10203121013100 in words is "ten trillion, two hundred three billion, one hundred twenty-one million, thirteen thousand, one hundred".