10422144024100 has 72 divisors (see below), whose sum is σ = 23658212527488. Its totient is φ = 3977658432000.

The previous prime is 10422144024059. The next prime is 10422144024107. The reversal of 10422144024100 is 142044122401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10422144024107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4727784 + ... + 6572383.

It is an arithmetic number, because the mean of its divisors is an integer number (328586285104).

Almost surely, 2^{10422144024100} is an apocalyptic number.

10422144024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10422144024100 is an abundant number, since it is smaller than the sum of its proper divisors (13236068503388).

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

10422144024100 is a wasteful number, since it uses less digits than its factorization.

10422144024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11300605 (or 11300598 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 10422144024100 its reverse (142044122401), we get a palindrome (10564188146501).

The spelling of 10422144024100 in words is "ten trillion, four hundred twenty-two billion, one hundred forty-four million, twenty-four thousand, one hundred".