101331201321129 has 16 divisors (see below), whose sum is σ = 150518495332800. Its totient is φ = 60207398131776.

The previous prime is 101331201321113. The next prime is 101331201321143. The reversal of 101331201321129 is 921123102133101.

It is not a de Polignac number, because 101331201321129 - 2⁴ = 101331201321113 is a prime.

It is a super-2 number, since 2×101331201321129² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101331201321096 and 101331201321105.

It is not an unprimeable number, because it can be changed into a prime (101331201323129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44797170099 + ... + 44797172360.

It is an arithmetic number, because the mean of its divisors is an integer number (9407405958300).

Almost surely, 2^{101331201321129} is an apocalyptic number.

It is an amenable number.

101331201321129 is a deficient number, since it is larger than the sum of its proper divisors (49187294011671).

101331201321129 is a wasteful number, since it uses less digits than its factorization.

101331201321129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89594342504.

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 101331201321129 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred one million, three hundred twenty-one thousand, one hundred twenty-nine".