101020000122112 has 72 divisors (see below), whose sum is σ = 203458957456104. Its totient is φ = 50057586868224.

The previous prime is 101020000122037. The next prime is 101020000122113. The reversal of 101020000122112 is 211221000020101.

It can be written as a sum of positive squares in 4 ways, for example, as 16167604642816 + 84852395479296 = 4020896^2 + 9211536^2 .

It is a super-2 number, since 2×101020000122112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020000122092 and 101020000122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020000122113) 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, 10218408 + ... + 17505880.

It is an arithmetic number, because the mean of its divisors is an integer number (2825818853557).

Almost surely, 2^{101020000122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020000122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101729478728052).

101020000122112 is an abundant number, since it is smaller than the sum of its proper divisors (102438957333992).

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

101020000122112 is an equidigital number, since it uses as much as digits as its factorization.

101020000122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7287975 (or 7287961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101020000122112 its reverse (211221000020101), we get a palindrome (312241000142213).

The spelling of 101020000122112 in words is "one hundred one trillion, twenty billion, one hundred twenty-two thousand, one hundred twelve".