10001022020200 has 96 divisors (see below), whose sum is σ = 23648732589600. Its totient is φ = 3932231363840.

The previous prime is 10001022020191. The next prime is 10001022020239. The reversal of 10001022020200 is 202022010001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146722527 + ... + 146790673.

It is an arithmetic number, because the mean of its divisors is an integer number (246340964475).

Almost surely, 2^{10001022020200} is an apocalyptic number.

10001022020200 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 10001022020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11824366294800).

10001022020200 is an abundant number, since it is smaller than the sum of its proper divisors (13647710569400).

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

10001022020200 is a wasteful number, since it uses less digits than its factorization.

10001022020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80659 (or 80650 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10001022020200 its reverse (202022010001), we get a palindrome (10203044030201).

The spelling of 10001022020200 in words is "ten trillion, one billion, twenty-two million, twenty thousand, two hundred".