1010002010112 has 112 divisors (see below), whose sum is σ = 2992416550080. Its totient is φ = 336667262976.

The previous prime is 1010002010081. The next prime is 1010002010119. The reversal of 1010002010112 is 2110102000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010002010094 and 1010002010103.

It is not an unprimeable number, because it can be changed into a prime (1010002010119) 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, 2061988 + ... + 2504355.

Almost surely, 2^{1010002010112} is an apocalyptic number.

1010002010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010002010112 is an abundant number, since it is smaller than the sum of its proper divisors (1982414539968).

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

1010002010112 is an frugal number, since it uses more digits than its factorization.

1010002010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566378 (or 4566348 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010002010112 its reverse (2110102000101), we get a palindrome (3120104010213).

It can be divided in two parts, 101000 and 2010112, that added together give a palindrome (2111112).

The spelling of 1010002010112 in words is "one trillion, ten billion, two million, ten thousand, one hundred twelve".