100100001201102 has 192 divisors, whose sum is σ = 251725545676800. Its totient is φ = 28159179033600.

The previous prime is 100100001201071. The next prime is 100100001201113. The reversal of 100100001201102 is 201102100001001.

It is a happy number.

100100001201102 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 1014741702 + ... + 1014840342.

It is an arithmetic number, because the mean of its divisors is an integer number (1311070550400).

Almost surely, 2^{100100001201102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100001201102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125862772838400).

100100001201102 is an abundant number, since it is smaller than the sum of its proper divisors (151625544475698).

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

100100001201102 is a wasteful number, since it uses less digits than its factorization.

100100001201102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99279 (or 99276 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100001201102 its reverse (201102100001001), we get a palindrome (301202101202103).

The spelling of 100100001201102 in words is "one hundred trillion, one hundred billion, one million, two hundred one thousand, one hundred two".