142241214032100 has 576 divisors, whose sum is σ = 497852802048000. Its totient is φ = 34706922508800.

The previous prime is 142241214032051. The next prime is 142241214032149. The reversal of 142241214032100 is 1230412142241.

142241214032100 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 41 + 2 + 1 + 403 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142241214032051) and next prime (142241214032149).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 809374839 + ... + 809550561.

Almost surely, 2^{142241214032100} is an apocalyptic number.

142241214032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142241214032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248926401024000).

142241214032100 is an abundant number, since it is smaller than the sum of its proper divisors (355611588015900).

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

142241214032100 is a wasteful number, since it uses less digits than its factorization.

142241214032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176305 (or 176292 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 142241214032100 its reverse (1230412142241), we get a palindrome (143471626174341).

The spelling of 142241214032100 in words is "one hundred forty-two trillion, two hundred forty-one billion, two hundred fourteen million, thirty-two thousand, one hundred".