100211020102011 has 64 divisors (see below), whose sum is σ = 169035007776768. Its totient is φ = 51386834377728.

The previous prime is 100211020101989. The next prime is 100211020102013. The reversal of 100211020102011 is 110201020112001.

It is not a de Polignac number, because 100211020102011 - 2⁶ = 100211020101947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211020102013) 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 63 ways as a sum of consecutive naturals, for example, 7892530 + ... + 16208456.

It is an arithmetic number, because the mean of its divisors is an integer number (2641171996512).

Almost surely, 2^{100211020102011} is an apocalyptic number.

100211020102011 is a deficient number, since it is larger than the sum of its proper divisors (68823987674757).

100211020102011 is a wasteful number, since it uses less digits than its factorization.

100211020102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317180.

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

Adding to 100211020102011 its reverse (110201020112001), we get a palindrome (210412040214012).

The spelling of 100211020102011 in words is "one hundred trillion, two hundred eleven billion, twenty million, one hundred two thousand, eleven".