10203121110100 has 72 divisors (see below), whose sum is σ = 22321229127680. Its totient is φ = 4048002241920.

The previous prime is 10203121110041. The next prime is 10203121110103. The reversal of 10203121110100 is 101112130201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203121110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46995997 + ... + 47212603.

Almost surely, 2^{10203121110100} is an apocalyptic number.

10203121110100 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 10203121110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160614563840).

10203121110100 is an abundant number, since it is smaller than the sum of its proper divisors (12118108017580).

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

10203121110100 is a wasteful number, since it uses less digits than its factorization.

10203121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220457 (or 220450 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10203121110100 its reverse (101112130201), we get a palindrome (10304233240301).

The spelling of 10203121110100 in words is "ten trillion, two hundred three billion, one hundred twenty-one million, one hundred ten thousand, one hundred".