100202121413100 has 432 divisors, whose sum is σ = 365285720217600. Its totient is φ = 22499383311360.

The previous prime is 100202121413057. The next prime is 100202121413117. The reversal of 100202121413100 is 1314121202001.

100202121413100 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 212 + 141 + 310 + 0 = 666.

100202121413100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100202121413100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 534782632 + ... + 534969968.

It is an arithmetic number, because the mean of its divisors is an integer number (845568796800).

Almost surely, 2^{100202121413100} is an apocalyptic number.

100202121413100 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 100202121413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182642860108800).

100202121413100 is an abundant number, since it is smaller than the sum of its proper divisors (265083598804500).

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

100202121413100 is a wasteful number, since it uses less digits than its factorization.

100202121413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188862 (or 188852 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100202121413100 its reverse (1314121202001), we get a palindrome (101516242615101).

The spelling of 100202121413100 in words is "one hundred trillion, two hundred two billion, one hundred twenty-one million, four hundred thirteen thousand, one hundred".