100101111011202 has 128 divisors (see below), whose sum is σ = 235977464346624. Its totient is φ = 27714851716608.

The previous prime is 100101111011173. The next prime is 100101111011221. The reversal of 100101111011202 is 202110111101001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116131653 + ... + 116990439.

It is an arithmetic number, because the mean of its divisors is an integer number (1843573940208).

Almost surely, 2^{100101111011202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101111011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117988732173312).

100101111011202 is an abundant number, since it is smaller than the sum of its proper divisors (135876353335422).

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

100101111011202 is a wasteful number, since it uses less digits than its factorization.

100101111011202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859352.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100101111011202 its reverse (202110111101001), we get a palindrome (302211222112203).

The spelling of 100101111011202 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, eleven thousand, two hundred two".