100132420401000 has 960 divisors, whose sum is σ = 379830180787200. Its totient is φ = 24594912576000.

The previous prime is 100132420400917. The next prime is 100132420401047. The reversal of 100132420401000 is 104024231001.

100132420401000 is a `hidden beast` number, since 10 + 0 + 13 + 242 + 0 + 401 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6557023365 + ... + 6557038635.

It is an arithmetic number, because the mean of its divisors is an integer number (395656438320).

Almost surely, 2^{100132420401000} is an apocalyptic number.

100132420401000 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 100132420401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189915090393600).

100132420401000 is an abundant number, since it is smaller than the sum of its proper divisors (279697760386200).

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

100132420401000 is a wasteful number, since it uses less digits than its factorization.

100132420401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15809 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100132420401000 its reverse (104024231001), we get a palindrome (100236444632001).

The spelling of 100132420401000 in words is "one hundred trillion, one hundred thirty-two billion, four hundred twenty million, four hundred one thousand".