101200120100 has 18 divisors (see below), whose sum is σ = 219604260834. Its totient is φ = 40480048000.

The previous prime is 101200120069. The next prime is 101200120103. The reversal of 101200120100 is 1021002101.

It can be written as a sum of positive squares in 3 ways, for example, as 17936709184 + 83263410916 = 133928^2 + 288554^2 .

It is a super-3 number, since 3×101200120100³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101200120103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506000501 + ... + 506000700.

It is an arithmetic number, because the mean of its divisors is an integer number (12200236713).

Almost surely, 2^101200120100 is an apocalyptic number.

101200120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200120100 is an abundant number, since it is smaller than the sum of its proper divisors (118404140734).

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

101200120100 is a wasteful number, since it uses less digits than its factorization.

101200120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012001215 (or 1012001208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101200120100 its reverse (1021002101), we get a palindrome (102221122201).

The spelling of 101200120100 in words is "one hundred one billion, two hundred million, one hundred twenty thousand, one hundred".