1221110202100 has 72 divisors (see below), whose sum is σ = 2659830931800. Its totient is φ = 486599393280.

The previous prime is 1221110202071. The next prime is 1221110202127. The reversal of 1221110202100 is 12020111221.

It can be written as a sum of positive squares in 12 ways, for example, as 1737722596 + 1219372479504 = 41686^2 + 1104252^2 .

It is a super-2 number, since 2×1221110202100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38567076 + ... + 38598724.

It is an arithmetic number, because the mean of its divisors is an integer number (36942096275).

Almost surely, 2^{1221110202100} is an apocalyptic number.

1221110202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221110202100 is an abundant number, since it is smaller than the sum of its proper divisors (1438720729700).

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

1221110202100 is a wasteful number, since it uses less digits than its factorization.

1221110202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33109 (or 33102 counting only the distinct ones).

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

Adding to 1221110202100 its reverse (12020111221), we get a palindrome (1233130313321).

The spelling of 1221110202100 in words is "one trillion, two hundred twenty-one billion, one hundred ten million, two hundred two thousand, one hundred".