1221101022100 has 18 divisors (see below), whose sum is σ = 2649789218174. Its totient is φ = 488440408800.

The previous prime is 1221101022091. The next prime is 1221101022109. The reversal of 1221101022100 is 12201011221.

It is an interprime number because it is at equal distance from previous prime (1221101022091) and next prime (1221101022109).

It can be written as a sum of positive squares in 3 ways, for example, as 5559491844 + 1215541530256 = 74562^2 + 1102516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221101022109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6105505011 + ... + 6105505210.

Almost surely, 2^{1221101022100} is an apocalyptic number.

1221101022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221101022100 is an abundant number, since it is smaller than the sum of its proper divisors (1428688196074).

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

1221101022100 is a wasteful number, since it uses less digits than its factorization.

1221101022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12211010235 (or 12211010228 counting only the distinct ones).

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

Adding to 1221101022100 its reverse (12201011221), we get a palindrome (1233302033321).

The spelling of 1221101022100 in words is "one trillion, two hundred twenty-one billion, one hundred one million, twenty-two thousand, one hundred".