211011002121 has 16 divisors (see below), whose sum is σ = 281563128000. Its totient is φ = 140566490688.

The previous prime is 211011002099. The next prime is 211011002219. The reversal of 211011002121 is 121200110112.

It is not a de Polignac number, because 211011002121 - 2¹⁴ = 211010985737 is a prime.

It is a super-2 number, since 2×211011002121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211011002097 and 211011002106.

It is not an unprimeable number, because it can be changed into a prime (211011000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37219075 + ... + 37224743.

It is an arithmetic number, because the mean of its divisors is an integer number (17597695500).

Almost surely, 2^211011002121 is an apocalyptic number.

It is an amenable number.

211011002121 is a deficient number, since it is larger than the sum of its proper divisors (70552125879).

211011002121 is a wasteful number, since it uses less digits than its factorization.

211011002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12968.

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

Adding to 211011002121 its reverse (121200110112), we get a palindrome (332211112233).

The spelling of 211011002121 in words is "two hundred eleven billion, eleven million, two thousand, one hundred twenty-one".