101110221212129 has 2 divisors, whose sum is σ = 101110221212130. Its totient is φ = 101110221212128.

The previous prime is 101110221212101. The next prime is 101110221212137. The reversal of 101110221212129 is 921212122011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82316062752400 + 18794158459729 = 9072820^2 + 4335223^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110221212129 - 2³² = 101105926244833 is a prime.

It is a super-3 number, since 3×101110221212129³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101110221212098 and 101110221212107.

It is not a weakly prime, because it can be changed into another prime (101110221212629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555110606064 + 50555110606065.

It is an arithmetic number, because the mean of its divisors is an integer number (50555110606065).

Almost surely, 2^{101110221212129} is an apocalyptic number.

It is an amenable number.

101110221212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110221212129 is an equidigital number, since it uses as much as digits as its factorization.

101110221212129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 101110221212129 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty-nine".