142401331202100 has 288 divisors, whose sum is σ = 429199452143616. Its totient is φ = 36412453324800.

The previous prime is 142401331202057. The next prime is 142401331202113. The reversal of 142401331202100 is 1202133104241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3790577517 + ... + 3790615083.

Almost surely, 2^{142401331202100} is an apocalyptic number.

142401331202100 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 142401331202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214599726071808).

142401331202100 is an abundant number, since it is smaller than the sum of its proper divisors (286798120941516).

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

142401331202100 is a wasteful number, since it uses less digits than its factorization.

142401331202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41335 (or 41328 counting only the distinct ones).

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

Adding to 142401331202100 its reverse (1202133104241), we get a palindrome (143603464306341).

The spelling of 142401331202100 in words is "one hundred forty-two trillion, four hundred one billion, three hundred thirty-one million, two hundred two thousand, one hundred".