4001102131122 has 24 divisors (see below), whose sum is σ = 8815987748880. Its totient is φ = 1311095613240.

The previous prime is 4001102131069. The next prime is 4001102131141. The reversal of 4001102131122 is 2211312011004.

4001102131122 is a `hidden beast` number, since 400 + 1 + 10 + 2 + 131 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4001102131095 and 4001102131104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1883757004 + ... + 1883759127.

It is an arithmetic number, because the mean of its divisors is an integer number (367332822870).

Almost surely, 2^{4001102131122} is an apocalyptic number.

4001102131122 is an abundant number, since it is smaller than the sum of its proper divisors (4814885617758).

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

4001102131122 is a wasteful number, since it uses less digits than its factorization.

4001102131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767516198 (or 3767516195 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 4001102131122 its reverse (2211312011004), we get a palindrome (6212414142126).

The spelling of 4001102131122 in words is "four trillion, one billion, one hundred two million, one hundred thirty-one thousand, one hundred twenty-two".