211210100112121 has 16 divisors (see below), whose sum is σ = 233232205406976. Its totient is φ = 189667014400000.

The previous prime is 211210100112101. The next prime is 211210100112161. The reversal of 211210100112121 is 121211001012112.

It is a cyclic number.

It is not a de Polignac number, because 211210100112121 - 2¹³ = 211210100103929 is a prime.

It is a super-2 number, since 2×211210100112121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211210100112095 and 211210100112104.

It is not an unprimeable number, because it can be changed into a prime (211210100112101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220064200 + ... + 221021881.

It is an arithmetic number, because the mean of its divisors is an integer number (14577012837936).

Almost surely, 2^{211210100112121} is an apocalyptic number.

It is an amenable number.

211210100112121 is a deficient number, since it is larger than the sum of its proper divisors (22022105294855).

211210100112121 is a wasteful number, since it uses less digits than its factorization.

211210100112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441086624.

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

Adding to 211210100112121 its reverse (121211001012112), we get a palindrome (332421101124233).

The spelling of 211210100112121 in words is "two hundred eleven trillion, two hundred ten billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".