101034433120122 has 16 divisors (see below), whose sum is σ = 224520962489280. Its totient is φ = 33678144373356.

The previous prime is 101034433120121. The next prime is 101034433120141. The reversal of 101034433120122 is 221021334430101.

101034433120122 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 4 + 433 + 1 + 201 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101034433120121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935504010318 + ... + 935504010425.

It is an arithmetic number, because the mean of its divisors is an integer number (14032560155580).

Almost surely, 2^{101034433120122} is an apocalyptic number.

101034433120122 is an abundant number, since it is smaller than the sum of its proper divisors (123486529369158).

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

101034433120122 is a wasteful number, since it uses less digits than its factorization.

101034433120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871008020754 (or 1871008020748 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101034433120122 its reverse (221021334430101), we get a palindrome (322055767550223).

The spelling of 101034433120122 in words is "one hundred one trillion, thirty-four billion, four hundred thirty-three million, one hundred twenty thousand, one hundred twenty-two".