100011010101002 has 384 divisors, whose sum is σ = 208599198082560. Its totient is φ = 35201776896000.

The previous prime is 100011010100893. The next prime is 100011010101007. The reversal of 100011010101002 is 200101010110001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100011010101007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28307671628 + ... + 28307675160.

It is an arithmetic number, because the mean of its divisors is an integer number (543227078340).

Almost surely, 2^{100011010101002} is an apocalyptic number.

100011010101002 is an abundant number, since it is smaller than the sum of its proper divisors (108588187981558).

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

100011010101002 is a wasteful number, since it uses less digits than its factorization.

100011010101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100011010101002 its reverse (200101010110001), we get a palindrome (300112020211003).

The spelling of 100011010101002 in words is "one hundred trillion, eleven billion, ten million, one hundred one thousand, two".