221211101002120 has 32 divisors (see below), whose sum is σ = 499423697340120. Its totient is φ = 88182445719040.

The previous prime is 221211101002049. The next prime is 221211101002159. The reversal of 221211101002120 is 21200101112122.

It can be written as a sum of positive squares in 4 ways, for example, as 202268185298404 + 18942915703716 = 14222102^2 + 4352346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221211101002094 and 221211101002103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9437321941 + ... + 9437345380.

Almost surely, 2^{221211101002120} is an apocalyptic number.

221211101002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211101002120 is an abundant number, since it is smaller than the sum of its proper divisors (278212596338000).

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

221211101002120 is a wasteful number, since it uses less digits than its factorization.

221211101002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18874667625 (or 18874667621 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221211101002120 its reverse (21200101112122), we get a palindrome (242411202114242).

The spelling of 221211101002120 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred one million, two thousand, one hundred twenty".