100101430200132 has 144 divisors (see below), whose sum is σ = 256193023806720. Its totient is φ = 32951545127424.

The previous prime is 100101430200127. The next prime is 100101430200173. The reversal of 100101430200132 is 231002034101001.

100101430200132 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 1 + 430 + 200 + 1 + 32 = 666.

It is a super-2 number, since 2×100101430200132² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 10128643263 + ... + 10128653145.

It is an arithmetic number, because the mean of its divisors is an integer number (1779118220880).

Almost surely, 2^{100101430200132} is an apocalyptic number.

100101430200132 is a gapful number since it is divisible by the number (12) 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 100101430200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128096511903360).

100101430200132 is an abundant number, since it is smaller than the sum of its proper divisors (156091593606588).

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

100101430200132 is a wasteful number, since it uses less digits than its factorization.

100101430200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13562 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100101430200132 its reverse (231002034101001), we get a palindrome (331103464301133).

The spelling of 100101430200132 in words is "one hundred trillion, one hundred one billion, four hundred thirty million, two hundred thousand, one hundred thirty-two".