10200021000000 has 784 divisors, whose sum is σ = 37220842317120. Its totient is φ = 2449152000000.

The previous prime is 10200020999963. The next prime is 10200021000077. The reversal of 10200021000000 is 12000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1598996811 + ... + 1599003189.

It is an arithmetic number, because the mean of its divisors is an integer number (47475564180).

Almost surely, 2^{10200021000000} is an apocalyptic number.

10200021000000 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 10200021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18610421158560).

10200021000000 is an abundant number, since it is smaller than the sum of its proper divisors (27020821317120).

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

10200021000000 is an frugal number, since it uses more digits than its factorization.

10200021000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10200021000000 its reverse (12000201), we get a palindrome (10200033000201).

The spelling of 10200021000000 in words is "ten trillion, two hundred billion, twenty-one million", and thus it is an aban number.