2101121102111 has 2 divisors, whose sum is σ = 2101121102112. Its totient is φ = 2101121102110.

The previous prime is 2101121102107. The next prime is 2101121102117. The reversal of 2101121102111 is 1112011211012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2101121102111 - 2² = 2101121102107 is a prime.

It is a super-2 number, since 2×2101121102111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101121102117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050560551055 + 1050560551056.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560551056).

Almost surely, 2^{2101121102111} is an apocalyptic number.

2101121102111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101121102111 is an equidigital number, since it uses as much as digits as its factorization.

2101121102111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2101121102111 its reverse (1112011211012), we get a palindrome (3213132313123).

The spelling of 2101121102111 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred eleven".