201022011121100 has 72 divisors (see below), whose sum is σ = 469783658588160. Its totient is φ = 74221824084480.

The previous prime is 201022011121003. The next prime is 201022011121187. The reversal of 201022011121100 is 1121110220102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56170136 + ... + 59641664.

Almost surely, 2^{201022011121100} is an apocalyptic number.

201022011121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022011121100 is an abundant number, since it is smaller than the sum of its proper divisors (268761647467060).

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

201022011121100 is a wasteful number, since it uses less digits than its factorization.

201022011121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516099 (or 3516092 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201022011121100 its reverse (1121110220102), we get a palindrome (202143121341202).

The spelling of 201022011121100 in words is "two hundred one trillion, twenty-two billion, eleven million, one hundred twenty-one thousand, one hundred".