100021200400000 has 384 divisors, whose sum is σ = 272047665960000. Its totient is φ = 36325094400000.

The previous prime is 100021200399983. The next prime is 100021200400007. The reversal of 100021200400000 is 4002120001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 100021200400000.

It is not an unprimeable number, because it can be changed into a prime (100021200400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3559585951 + ... + 3559614049.

Almost surely, 2^{100021200400000} is an apocalyptic number.

100021200400000 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 100021200400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136023832980000).

100021200400000 is an abundant number, since it is smaller than the sum of its proper divisors (172026465560000).

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

100021200400000 is an frugal number, since it uses more digits than its factorization.

100021200400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28958 (or 28926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100021200400000 its reverse (4002120001), we get a palindrome (100025202520001).

The spelling of 100021200400000 in words is "one hundred trillion, twenty-one billion, two hundred million, four hundred thousand".