1221010122100 has 18 divisors (see below), whose sum is σ = 2649591965174. Its totient is φ = 488404048800.

The previous prime is 1221010122067. The next prime is 1221010122121. The reversal of 1221010122100 is 12210101221.

It can be written as a sum of positive squares in 3 ways, for example, as 189513950224 + 1031496171876 = 435332^2 + 1015626^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 6105050511 + ... + 6105050710.

Almost surely, 2^{1221010122100} is an apocalyptic number.

1221010122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221010122100 is an abundant number, since it is smaller than the sum of its proper divisors (1428581843074).

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

1221010122100 is a wasteful number, since it uses less digits than its factorization.

1221010122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210101235 (or 12210101228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1221010122100 its reverse (12210101221), we get a palindrome (1233220223321).

1221010122100 divided by its reverse (12210101221) gives a square (100 = 10²).

The spelling of 1221010122100 in words is "one trillion, two hundred twenty-one billion, ten million, one hundred twenty-two thousand, one hundred".