101221101122101 has 2 divisors, whose sum is σ = 101221101122102. Its totient is φ = 101221101122100.

The previous prime is 101221101121913. The next prime is 101221101122117.

101221101122101 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (101221101122117) can be obtained adding 101221101122101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93163536319876 + 8057564802225 = 9652126^2 + 2838585^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 101221101122101 - 2²³ = 101221092733493 is a prime.

It is a super-2 number, since 2×101221101122101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221101129101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610550561050 + 50610550561051.

It is an arithmetic number, because the mean of its divisors is an integer number (50610550561051).

Almost surely, 2^{101221101122101} is an apocalyptic number.

It is an amenable number.

101221101122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221101122101 is an equidigital number, since it uses as much as digits as its factorization.

101221101122101 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 16.

It can be divided in two parts, 10122110 and 1122101, that added together give a palindrome (11244211).

The spelling of 101221101122101 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, one hundred one".