101020010112 has 384 divisors, whose sum is σ = 361989840000. Its totient is φ = 27163164672.

The previous prime is 101020010111. The next prime is 101020010137. The reversal of 101020010112 is 211010020101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 101020010094 and 101020010103.

It is not an unprimeable number, because it can be changed into a prime (101020010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6984264 + ... + 6998712.

It is an arithmetic number, because the mean of its divisors is an integer number (942681875).

Almost surely, 2^101020010112 is an apocalyptic number.

101020010112 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 101020010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180994920000).

101020010112 is an abundant number, since it is smaller than the sum of its proper divisors (260969829888).

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

101020010112 is a wasteful number, since it uses less digits than its factorization.

101020010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14513 (or 14478 counting only the distinct ones).

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

Adding to 101020010112 its reverse (211010020101), we get a palindrome (312030030213).

The spelling of 101020010112 in words is "one hundred one billion, twenty million, ten thousand, one hundred twelve".