100211211200001 has 64 divisors (see below), whose sum is σ = 149530011466752. Its totient is φ = 59184496800000.

The previous prime is 100211211199997. The next prime is 100211211200017. The reversal of 100211211200001 is 100002112112001.

It is not a de Polignac number, because 100211211200001 - 2² = 100211211199997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100211211200001.

It is not an unprimeable number, because it can be changed into a prime (100211211200201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261305571 + ... + 261688791.

It is an arithmetic number, because the mean of its divisors is an integer number (2336406429168).

Almost surely, 2^{100211211200001} is an apocalyptic number.

100211211200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211211200001 is a deficient number, since it is larger than the sum of its proper divisors (49318800266751).

100211211200001 is a wasteful number, since it uses less digits than its factorization.

100211211200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384574.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211211200001 its reverse (100002112112001), we get a palindrome (200213323312002).

The spelling of 100211211200001 in words is "one hundred trillion, two hundred eleven billion, two hundred eleven million, two hundred thousand, one".