1000101020112 has 60 divisors (see below), whose sum is σ = 2805737253540. Its totient is φ = 332551908864.

The previous prime is 1000101020089. The next prime is 1000101020197. The reversal of 1000101020112 is 2110201010001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 932530136976 + 67570883136 = 965676^2 + 259944^2 .

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 = 1000101020094 and 1000101020103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8431503 + ... + 8549294.

It is an arithmetic number, because the mean of its divisors is an integer number (46762287559).

Almost surely, 2^{1000101020112} is an apocalyptic number.

1000101020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000101020112 is an abundant number, since it is smaller than the sum of its proper divisors (1805636233428).

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

1000101020112 is a wasteful number, since it uses less digits than its factorization.

1000101020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16981220 (or 16981211 counting only the distinct ones).

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

Adding to 1000101020112 its reverse (2110201010001), we get a palindrome (3110302030113).

The spelling of 1000101020112 in words is "one trillion, one hundred one million, twenty thousand, one hundred twelve".