442101132245100 has 36 divisors (see below), whose sum is σ = 1279145942630024. Its totient is φ = 117893635265280.

The previous prime is 442101132245099. The next prime is 442101132245107. The reversal of 442101132245100 is 1542231101244.

It is a super-2 number, since 2×442101132245100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (442101132245107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736835220109 + ... + 736835220708.

Almost surely, 2^{442101132245100} is an apocalyptic number.

It is an amenable number.

442101132245100 is an abundant number, since it is smaller than the sum of its proper divisors (837044810384924).

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

442101132245100 is a wasteful number, since it uses less digits than its factorization.

442101132245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473670440834 (or 1473670440827 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 442101132245100 its reverse (1542231101244), we get a palindrome (443643363346344).

The spelling of 442101132245100 in words is "four hundred forty-two trillion, one hundred one billion, one hundred thirty-two million, two hundred forty-five thousand, one hundred".