100121012211 has 64 divisors (see below), whose sum is σ = 151214386176. Its totient is φ = 58392576000.

The previous prime is 100121012207. The next prime is 100121012239. The reversal of 100121012211 is 112210121001.

It is not a de Polignac number, because 100121012211 - 2² = 100121012207 is a prime.

It is a super-2 number, since 2×100121012211² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100121012261) 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, 47382291 + ... + 47384403.

It is an arithmetic number, because the mean of its divisors is an integer number (2362724784).

Almost surely, 2^100121012211 is an apocalyptic number.

100121012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100121012211 is a deficient number, since it is larger than the sum of its proper divisors (51093373965).

100121012211 is a wasteful number, since it uses less digits than its factorization.

100121012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572.

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

Adding to 100121012211 its reverse (112210121001), we get a palindrome (212331133212).

The spelling of 100121012211 in words is "one hundred billion, one hundred twenty-one million, twelve thousand, two hundred eleven".