10100201222020 has 384 divisors, whose sum is σ = 26722817372160. Its totient is φ = 3121985617920.

The previous prime is 10100201222009. The next prime is 10100201222047. The reversal of 10100201222020 is 2022210200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5801378350 + ... + 5801380090.

It is an arithmetic number, because the mean of its divisors is an integer number (69590670240).

Almost surely, 2^{10100201222020} is an apocalyptic number.

10100201222020 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 10100201222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361408686080).

10100201222020 is an abundant number, since it is smaller than the sum of its proper divisors (16622616150140).

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

10100201222020 is a wasteful number, since it uses less digits than its factorization.

10100201222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10100201222020 its reverse (2022210200101), we get a palindrome (12122411422121).

The spelling of 10100201222020 in words is "ten trillion, one hundred billion, two hundred one million, two hundred twenty-two thousand, twenty".