221001021211120 has 40 divisors (see below), whose sum is σ = 513828124587216. Its totient is φ = 88400279405568.

The previous prime is 221001021211109. The next prime is 221001021211123. The reversal of 221001021211120 is 21112120100122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×221001021211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221001021211094 and 221001021211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001021211123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68372584 + ... + 71531896.

Almost surely, 2^{221001021211120} is an apocalyptic number.

221001021211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001021211120 is an abundant number, since it is smaller than the sum of its proper divisors (292827103376096).

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

221001021211120 is a wasteful number, since it uses less digits than its factorization.

221001021211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033729 (or 4033723 counting only the distinct ones).

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

Adding to 221001021211120 its reverse (21112120100122), we get a palindrome (242113141311242).

The spelling of 221001021211120 in words is "two hundred twenty-one trillion, one billion, twenty-one million, two hundred eleven thousand, one hundred twenty".