10200022010220 has 192 divisors, whose sum is σ = 32944005642240. Its totient is φ = 2309729789952.

The previous prime is 10200022010173. The next prime is 10200022010309. The reversal of 10200022010220 is 2201022000201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200022010196 and 10200022010205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 571005009 + ... + 571022871.

It is an arithmetic number, because the mean of its divisors is an integer number (171583362720).

Almost surely, 2^{10200022010220} is an apocalyptic number.

10200022010220 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 10200022010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472002821120).

10200022010220 is an abundant number, since it is smaller than the sum of its proper divisors (22743983632020).

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

10200022010220 is a wasteful number, since it uses less digits than its factorization.

10200022010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30464 (or 30462 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10200022010220 its reverse (2201022000201), we get a palindrome (12401044010421).

The spelling of 10200022010220 in words is "ten trillion, two hundred billion, twenty-two million, ten thousand, two hundred twenty".