100000210032000 has 576 divisors, whose sum is σ = 381493607077440. Its totient is φ = 25098081484800.

The previous prime is 100000210031929. The next prime is 100000210032011. The reversal of 100000210032000 is 230012000001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×100000210032000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40414537 + ... + 42817463.

It is an arithmetic number, because the mean of its divisors is an integer number (662315290065).

Almost surely, 2^{100000210032000} is an apocalyptic number.

100000210032000 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 100000210032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190746803538720).

100000210032000 is an abundant number, since it is smaller than the sum of its proper divisors (281493397045440).

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

100000210032000 is a wasteful number, since it uses less digits than its factorization.

100000210032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402996 (or 2402954 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100000210032000 its reverse (230012000001), we get a palindrome (100230222032001).

The spelling of 100000210032000 in words is "one hundred trillion, two hundred ten million, thirty-two thousand".