1002100111221 has 24 divisors (see below), whose sum is σ = 1519285451040. Its totient is φ = 586390863520.

The previous prime is 1002100111217. The next prime is 1002100111237. The reversal of 1002100111221 is 1221110012001.

It is not a de Polignac number, because 1002100111221 - 2² = 1002100111217 is a prime.

It is a super-2 number, since 2×1002100111221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002100111197 and 1002100111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002100111211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47586135 + ... + 47607188.

It is an arithmetic number, because the mean of its divisors is an integer number (63303560460).

Almost surely, 2^{1002100111221} is an apocalyptic number.

1002100111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002100111221 is a deficient number, since it is larger than the sum of its proper divisors (517185339819).

1002100111221 is a wasteful number, since it uses less digits than its factorization.

1002100111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95193377 (or 95193366 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002100111221 its reverse (1221110012001), we get a palindrome (2223210123222).

The spelling of 1002100111221 in words is "one trillion, two billion, one hundred million, one hundred eleven thousand, two hundred twenty-one".