101102112121211 has 2 divisors, whose sum is σ = 101102112121212. Its totient is φ = 101102112121210.

The previous prime is 101102112121177. The next prime is 101102112121223. The reversal of 101102112121211 is 112121211201101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101102112121211 - 2⁴⁶ = 30733367943547 is a prime.

It is a super-2 number, since 2×101102112121211² (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 101102112121211.

It is not a weakly prime, because it can be changed into another prime (101102112121261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551056060605 + 50551056060606.

It is an arithmetic number, because the mean of its divisors is an integer number (50551056060606).

Almost surely, 2^{101102112121211} is an apocalyptic number.

101102112121211 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102112121211 is an equidigital number, since it uses as much as digits as its factorization.

101102112121211 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 101102112121211 its reverse (112121211201101), we get a palindrome (213223323322312).

The spelling of 101102112121211 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred eleven".