211012112121101 has 2 divisors, whose sum is σ = 211012112121102. Its totient is φ = 211012112121100.

The previous prime is 211012112121067. The next prime is 211012112121169. The reversal of 211012112121101 is 101121211210112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200457742056100 + 10554370065001 = 14158310^2 + 3248749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211012112121101 is a prime.

It is a super-2 number, since 2×211012112121101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211012112121101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211012112121191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105506056060550 + 105506056060551.

It is an arithmetic number, because the mean of its divisors is an integer number (105506056060551).

Almost surely, 2^{211012112121101} is an apocalyptic number.

It is an amenable number.

211012112121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211012112121101 is an equidigital number, since it uses as much as digits as its factorization.

211012112121101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 211012112121101 its reverse (101121211210112), we get a palindrome (312133323331213).

The spelling of 211012112121101 in words is "two hundred eleven trillion, twelve billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".