220201100010000 has 300 divisors, whose sum is σ = 803556585182208. Its totient is φ = 56167236576000.

The previous prime is 220201100009959. The next prime is 220201100010029. The reversal of 220201100010000 is 10001102022.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×220201100010000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51118672 + ... + 55258671.

Almost surely, 2^{220201100010000} is an apocalyptic number.

220201100010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201100010000 is an abundant number, since it is smaller than the sum of its proper divisors (583355485172208).

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

220201100010000 is a wasteful number, since it uses less digits than its factorization.

220201100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106377400 (or 106377376 counting only the distinct ones).

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

Adding to 220201100010000 its reverse (10001102022), we get a palindrome (220211101112022).

The spelling of 220201100010000 in words is "two hundred twenty trillion, two hundred one billion, one hundred million, ten thousand".