100203121131102 has 384 divisors, whose sum is σ = 257609424384000. Its totient is φ = 27810599731200.

The previous prime is 100203121131101. The next prime is 100203121131143. The reversal of 100203121131102 is 201131121302001.

100203121131102 is a `hidden beast` number, since 10 + 0 + 20 + 312 + 11 + 311 + 0 + 2 = 666.

It is a super-4 number, since 4×100203121131102⁴ (a number of 57 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203121131101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41768702899 + ... + 41768705297.

It is an arithmetic number, because the mean of its divisors is an integer number (670857876000).

Almost surely, 2^{100203121131102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100203121131102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128804712192000).

100203121131102 is an abundant number, since it is smaller than the sum of its proper divisors (157406303252898).

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

100203121131102 is a wasteful number, since it uses less digits than its factorization.

100203121131102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100203121131102 its reverse (201131121302001), we get a palindrome (301334242433103).

The spelling of 100203121131102 in words is "one hundred trillion, two hundred three billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred two".