1012111221 has 16 divisors (see below), whose sum is σ = 1475136000. Its totient is φ = 612161520.

The previous prime is 1012111189. The next prime is 1012111231. The reversal of 1012111221 is 1221112101.

It is not a de Polignac number, because 1012111221 - 2⁵ = 1012111189 is a prime.

It is a super-2 number, since 2×1012111221² = 2048738247348221682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012111197 and 1012111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012111231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14265 + ... + 47198.

It is an arithmetic number, because the mean of its divisors is an integer number (92196000).

Almost surely, 2^1012111221 is an apocalyptic number.

1012111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012111221 is a deficient number, since it is larger than the sum of its proper divisors (463024779).

1012111221 is a wasteful number, since it uses less digits than its factorization.

1012111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61976.

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

The square root of 1012111221 is about 31813.6954942364. The cubic root of 1012111221 is about 1004.0208844854.

Adding to 1012111221 its reverse (1221112101), we get a palindrome (2233223322).

The spelling of 1012111221 in words is "one billion, twelve million, one hundred eleven thousand, two hundred twenty-one".