100200220121001 has 192 divisors, whose sum is σ = 193408520497920. Its totient is φ = 45201643683840.

The previous prime is 100200220120997. The next prime is 100200220121063. The reversal of 100200220121001 is 100121022002001.

It is not a de Polignac number, because 100200220121001 - 2² = 100200220120997 is a prime.

It is a super-2 number, since 2×100200220121001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100200220121201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 820787995 + ... + 820910063.

It is an arithmetic number, because the mean of its divisors is an integer number (1007336044260).

Almost surely, 2^{100200220121001} is an apocalyptic number.

100200220121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200220121001 is a deficient number, since it is larger than the sum of its proper divisors (93208300376919).

100200220121001 is a wasteful number, since it uses less digits than its factorization.

100200220121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124424 (or 124417 counting only the distinct ones).

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

Adding to 100200220121001 its reverse (100121022002001), we get a palindrome (200321242123002).

The spelling of 100200220121001 in words is "one hundred trillion, two hundred billion, two hundred twenty million, one hundred twenty-one thousand, one".