100203123133100 has 144 divisors (see below), whose sum is σ = 236139484709856. Its totient is φ = 36687603456000.

The previous prime is 100203123133097. The next prime is 100203123133111. The reversal of 100203123133100 is 1331321302001.

It is a super-2 number, since 2×100203123133100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 81035480 + ... + 82262720.

Almost surely, 2^{100203123133100} is an apocalyptic number.

100203123133100 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 100203123133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118069742354928).

100203123133100 is an abundant number, since it is smaller than the sum of its proper divisors (135936361576756).

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

100203123133100 is a wasteful number, since it uses less digits than its factorization.

100203123133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227796 (or 1227789 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100203123133100 its reverse (1331321302001), we get a palindrome (101534444435101).

The spelling of 100203123133100 in words is "one hundred trillion, two hundred three billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred".