10221542624142 has 128 divisors (see below), whose sum is σ = 23375958480000. Its totient is φ = 3308757672960.

The previous prime is 10221542624107. The next prime is 10221542624221. The reversal of 10221542624142 is 24142624512201.

10221542624142 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 15 + 4 + 2 + 624 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10221542624097 and 10221542624106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722414484 + ... + 722428632.

It is an arithmetic number, because the mean of its divisors is an integer number (182624675625).

Almost surely, 2^{10221542624142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221542624142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11687979240000).

10221542624142 is an abundant number, since it is smaller than the sum of its proper divisors (13154415855858).

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

10221542624142 is a wasteful number, since it uses less digits than its factorization.

10221542624142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15683 (or 15677 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 10221542624142 in words is "ten trillion, two hundred twenty-one billion, five hundred forty-two million, six hundred twenty-four thousand, one hundred forty-two".