100101011110002 has 256 divisors, whose sum is σ = 255894255267840. Its totient is φ = 28413302860800.

The previous prime is 100101011109977. The next prime is 100101011110003. The reversal of 100101011110002 is 200011110101001.

It is a super-2 number, since 2×100101011110002² (a number of 29 digits) contains 22 as substring.

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 (100101011110003) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 62058902548 + ... + 62058904160.

It is an arithmetic number, because the mean of its divisors is an integer number (999586934640).

Almost surely, 2^{100101011110002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101011110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127947127633920).

100101011110002 is an abundant number, since it is smaller than the sum of its proper divisors (155793244157838).

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

100101011110002 is a wasteful number, since it uses less digits than its factorization.

100101011110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3400 counting only the distinct ones).

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

Adding to 100101011110002 its reverse (200011110101001), we get a palindrome (300112121211003).

The spelling of 100101011110002 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred ten thousand, two".