10001021222100 has 72 divisors (see below), whose sum is σ = 29222786059488. Its totient is φ = 2640533648000.

The previous prime is 10001021222083. The next prime is 10001021222123. The reversal of 10001021222100 is 122212010001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165003054 + ... + 165063653.

It is an arithmetic number, because the mean of its divisors is an integer number (405872028604).

Almost surely, 2^{10001021222100} is an apocalyptic number.

10001021222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001021222100 is an abundant number, since it is smaller than the sum of its proper divisors (19221764837388).

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

10001021222100 is a wasteful number, since it uses less digits than its factorization.

10001021222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330066825 (or 330066818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001021222100 its reverse (122212010001), we get a palindrome (10123233232101).

The spelling of 10001021222100 in words is "ten trillion, one billion, twenty-one million, two hundred twenty-two thousand, one hundred".