100011011101002 has 12 divisors (see below), whose sum is σ = 216690524052210. Its totient is φ = 33337003700328.

The previous prime is 100011011100997. The next prime is 100011011101007. The reversal of 100011011101002 is 200101110110001.

It is an interprime number because it is at equal distance from previous prime (100011011100997) and next prime (100011011101007).

It can be written as a sum of positive squares in only one way, i.e., 74706479310681 + 25304531790321 = 8643291^2 + 5030361^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100011011101007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2778083641677 + ... + 2778083641712.

Almost surely, 2^{100011011101002} is an apocalyptic number.

100011011101002 is an abundant number, since it is smaller than the sum of its proper divisors (116679512951208).

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

100011011101002 is a wasteful number, since it uses less digits than its factorization.

100011011101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556167283397 (or 5556167283394 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100011011101002 its reverse (200101110110001), we get a palindrome (300112121211003).

The spelling of 100011011101002 in words is "one hundred trillion, eleven billion, eleven million, one hundred one thousand, two".