20002101021000 has 768 divisors, whose sum is σ = 81427866624000. Its totient is φ = 4326169305600.

The previous prime is 20002101020987. The next prime is 20002101021031. The reversal of 20002101021000 is 12010120002.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1061729581 + ... + 1061748419.

It is an arithmetic number, because the mean of its divisors is an integer number (106025868000).

Almost surely, 2^{20002101021000} is an apocalyptic number.

20002101021000 is a gapful number since it is divisible by the number (20) 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 20002101021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40713933312000).

20002101021000 is an abundant number, since it is smaller than the sum of its proper divisors (61425765603000).

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

20002101021000 is a wasteful number, since it uses less digits than its factorization.

20002101021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19779 (or 19762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20002101021000 its reverse (12010120002), we get a palindrome (20014111141002).

The spelling of 20002101021000 in words is "twenty trillion, two billion, one hundred one million, twenty-one thousand".