2100100222011 has 32 divisors (see below), whose sum is σ = 3100495481856. Its totient is φ = 1253705508000.

The previous prime is 2100100221949. The next prime is 2100100222079. The reversal of 2100100222011 is 1102220010012.

It is not a de Polignac number, because 2100100222011 - 2¹⁰ = 2100100220987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100100222081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49264096 + ... + 49306706.

It is an arithmetic number, because the mean of its divisors is an integer number (96890483808).

Almost surely, 2^{2100100222011} is an apocalyptic number.

2100100222011 is a deficient number, since it is larger than the sum of its proper divisors (1000395259845).

2100100222011 is a wasteful number, since it uses less digits than its factorization.

2100100222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64983.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100100222011 its reverse (1102220010012), we get a palindrome (3202320232023).

The spelling of 2100100222011 in words is "two trillion, one hundred billion, one hundred million, two hundred twenty-two thousand, eleven".