100100021021000 has 3072 divisors, whose sum is σ = 354165770649600. Its totient is φ = 25642552320000.

The previous prime is 100100021020949. The next prime is 100100021021009. The reversal of 100100021021000 is 120120001001.

Added to its reverse (120120001001) it gives a square (100220141022001 = 10011001²).

It is a super-3 number, since 3×100100021021000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100100021021009) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 341638296854 + ... + 341638297146.

It is an arithmetic number, because the mean of its divisors is an integer number (115288336800).

Almost surely, 2^{100100021021000} is an apocalyptic number.

100100021021000 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 100100021021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177082885324800).

100100021021000 is an abundant number, since it is smaller than the sum of its proper divisors (254065749628600).

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

100100021021000 is a wasteful number, since it uses less digits than its factorization.

100100021021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100021021000 its reverse (120120001001), we get a palindrome (100220141022001).

The spelling of 100100021021000 in words is "one hundred trillion, one hundred billion, twenty-one million, twenty-one thousand".