100021002011000 has 384 divisors, whose sum is σ = 272939783500800. Its totient is φ = 34207585440000.

The previous prime is 100021002010837. The next prime is 100021002011011. The reversal of 100021002011000 is 110200120001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49053947981 + ... + 49053950019.

It is an arithmetic number, because the mean of its divisors is an integer number (710780686200).

Almost surely, 2^{100021002011000} is an apocalyptic number.

100021002011000 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 100021002011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136469891750400).

100021002011000 is an abundant number, since it is smaller than the sum of its proper divisors (172918781489800).

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

100021002011000 is a wasteful number, since it uses less digits than its factorization.

100021002011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4055 counting only the distinct ones).

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

Adding to 100021002011000 its reverse (110200120001), we get a palindrome (100131202131001).

The spelling of 100021002011000 in words is "one hundred trillion, twenty-one billion, two million, eleven thousand".