100020330102132 has 144 divisors (see below), whose sum is σ = 279759227739264. Its totient is φ = 29875795488000.

The previous prime is 100020330102079. The next prime is 100020330102169. The reversal of 100020330102132 is 231201033020001.

100020330102132 is a `hidden beast` number, since 100 + 0 + 2 + 0 + 330 + 102 + 132 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129539118 + ... + 130308954.

It is an arithmetic number, because the mean of its divisors is an integer number (1942772414856).

Almost surely, 2^{100020330102132} is an apocalyptic number.

100020330102132 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 100020330102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139879613869632).

100020330102132 is an abundant number, since it is smaller than the sum of its proper divisors (179738897637132).

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

100020330102132 is a wasteful number, since it uses less digits than its factorization.

100020330102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774550 (or 774545 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100020330102132 its reverse (231201033020001), we get a palindrome (331221363122133).

The spelling of 100020330102132 in words is "one hundred trillion, twenty billion, three hundred thirty million, one hundred two thousand, one hundred thirty-two".