100011211000001 has 96 divisors (see below), whose sum is σ = 120537671270400. Its totient is φ = 82692000316800.

The previous prime is 100011210999991. The next prime is 100011211000003. The reversal of 100011211000001 is 100000112110001.

It is a happy number.

It is not a de Polignac number, because 100011211000001 - 2¹⁰ = 100011210998977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011211000003) 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 95 ways as a sum of consecutive naturals, for example, 78194847680 + ... + 78194848958.

It is an arithmetic number, because the mean of its divisors is an integer number (1255600742400).

Almost surely, 2^{100011211000001} is an apocalyptic number.

It is an amenable number.

100011211000001 is a deficient number, since it is larger than the sum of its proper divisors (20526460270399).

100011211000001 is a wasteful number, since it uses less digits than its factorization.

100011211000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2700 counting only the distinct ones).

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

Adding to 100011211000001 its reverse (100000112110001), we get a palindrome (200011323110002).

The spelling of 100011211000001 in words is "one hundred trillion, eleven billion, two hundred eleven million, one", and thus it is an aban number.