1012121112 has 128 divisors (see below), whose sum is σ = 2799748800. Its totient is φ = 303464448.

The previous prime is 1012121081. The next prime is 1012121113. The reversal of 1012121112 is 2111212101.

It is a super-2 number, since 2×1012121112² = 2048778290712233088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012121113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336638 + ... + 1337394.

Almost surely, 2^1012121112 is an apocalyptic number.

1012121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399874400).

1012121112 is an abundant number, since it is smaller than the sum of its proper divisors (1787627688).

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

1012121112 is a wasteful number, since it uses less digits than its factorization.

1012121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 921 counting only the distinct ones).

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

The square root of 1012121112 is about 31813.8509457752. The cubic root of 1012121112 is about 1004.0241551201.

Adding to 1012121112 its reverse (2111212101), we get a palindrome (3123333213).

The spelling of 1012121112 in words is "one billion, twelve million, one hundred twenty-one thousand, one hundred twelve".