10101434113122 has 64 divisors (see below), whose sum is σ = 22707639895680. Its totient is φ = 2969540288000.

The previous prime is 10101434113091. The next prime is 10101434113129. The reversal of 10101434113122 is 22131143410101.

10101434113122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10101434113122² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101434113092 and 10101434113101.

It is not an unprimeable number, because it can be changed into a prime (10101434113129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15912129 + ... + 16534772.

It is an arithmetic number, because the mean of its divisors is an integer number (354806873370).

Almost surely, 2^{10101434113122} is an apocalyptic number.

10101434113122 is an abundant number, since it is smaller than the sum of its proper divisors (12606205782558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101434113122 is a wasteful number, since it uses less digits than its factorization.

10101434113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32447059.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10101434113122 its reverse (22131143410101), we get a palindrome (32232577523223).

The spelling of 10101434113122 in words is "ten trillion, one hundred one billion, four hundred thirty-four million, one hundred thirteen thousand, one hundred twenty-two".