101200011012 has 60 divisors (see below), whose sum is σ = 266984038860. Its totient is φ = 33423845184.

The previous prime is 101200010983. The next prime is 101200011041. The reversal of 101200011012 is 210110002101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101200010983) and next prime (101200011041).

It can be written as a sum of positive squares in 2 ways, for example, as 68233798656 + 32966212356 = 261216^2 + 181566^2 .

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 = 101200010985 and 101200011003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1397463 + ... + 1468094.

It is an arithmetic number, because the mean of its divisors is an integer number (4449733981).

Almost surely, 2^101200011012 is an apocalyptic number.

101200011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200011012 is an abundant number, since it is smaller than the sum of its proper divisors (165784027848).

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

101200011012 is a wasteful number, since it uses less digits than its factorization.

101200011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865682 (or 2865671 counting only the distinct ones).

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

Adding to 101200011012 its reverse (210110002101), we get a palindrome (311310013113).

The spelling of 101200011012 in words is "one hundred one billion, two hundred million, eleven thousand, twelve".