100020021101000 has 1024 divisors, whose sum is σ = 333276267018240. Its totient is φ = 27039744000000.

The previous prime is 100020021100999. The next prime is 100020021101041. The reversal of 100020021101000 is 101120020001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11112096500 + ... + 11112105500.

It is an arithmetic number, because the mean of its divisors is an integer number (325465104510).

Almost surely, 2^{100020021101000} is an apocalyptic number.

100020021101000 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 100020021101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166638133509120).

100020021101000 is an abundant number, since it is smaller than the sum of its proper divisors (233256245917240).

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

100020021101000 is a wasteful number, since it uses less digits than its factorization.

100020021101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9723 (or 9709 counting only the distinct ones).

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

Adding to 100020021101000 its reverse (101120020001), we get a palindrome (100121141121001).

The spelling of 100020021101000 in words is "one hundred trillion, twenty billion, twenty-one million, one hundred one thousand".