22131102401034 has 256 divisors, whose sum is σ = 52938211737600. Its totient is φ = 6092469964800.

The previous prime is 22131102401033. The next prime is 22131102401039. The reversal of 22131102401034 is 43010420113122.

It is a junction number, because it is equal to n+sod(n) for n = 22131102400995 and 22131102401013.

It is not an unprimeable number, because it can be changed into a prime (22131102401033) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2451108832 + ... + 2451117860.

It is an arithmetic number, because the mean of its divisors is an integer number (206789889600).

Almost surely, 2^{22131102401034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22131102401034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26469105868800).

22131102401034 is an abundant number, since it is smaller than the sum of its proper divisors (30807109336566).

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

22131102401034 is a wasteful number, since it uses less digits than its factorization.

22131102401034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9789.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 22131102401034 its reverse (43010420113122), we get a palindrome (65141522514156).

The spelling of 22131102401034 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred two million, four hundred one thousand, thirty-four".