10103233111020 has 288 divisors, whose sum is σ = 37103703436800. Its totient is φ = 2172361254912.

The previous prime is 10103233111001. The next prime is 10103233111099. The reversal of 10103233111020 is 2011133230101.

10103233111020 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 323 + 311 + 10 + 20 = 666.

It is a super-2 number, since 2×10103233111020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10103233110984 and 10103233111002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42271011 + ... + 42509349.

It is an arithmetic number, because the mean of its divisors is an integer number (128832303600).

Almost surely, 2^{10103233111020} is an apocalyptic number.

10103233111020 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 10103233111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18551851718400).

10103233111020 is an abundant number, since it is smaller than the sum of its proper divisors (27000470325780).

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

10103233111020 is a wasteful number, since it uses less digits than its factorization.

10103233111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240357 (or 240352 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10103233111020 its reverse (2011133230101), we get a palindrome (12114366341121).

The spelling of 10103233111020 in words is "ten trillion, one hundred three billion, two hundred thirty-three million, one hundred eleven thousand, twenty".