101010020112 has 160 divisors (see below), whose sum is σ = 305967024000. Its totient is φ = 31817318400.

The previous prime is 101010020099. The next prime is 101010020119. The reversal of 101010020112 is 211020010101.

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 = 101010020094 and 101010020103.

It is not an unprimeable number, because it can be changed into a prime (101010020119) 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, 3276064 + ... + 3306752.

It is an arithmetic number, because the mean of its divisors is an integer number (1912293900).

Almost surely, 2^101010020112 is an apocalyptic number.

101010020112 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 101010020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152983512000).

101010020112 is an abundant number, since it is smaller than the sum of its proper divisors (204957003888).

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

101010020112 is a wasteful number, since it uses less digits than its factorization.

101010020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31126 (or 31114 counting only the distinct ones).

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

Adding to 101010020112 its reverse (211020010101), we get a palindrome (312030030213).

The spelling of 101010020112 in words is "one hundred one billion, ten million, twenty thousand, one hundred twelve".