101200100121 has 48 divisors (see below), whose sum is σ = 155235450240. Its totient is φ = 63351590400.

The previous prime is 101200100051. The next prime is 101200100137. The reversal of 101200100121 is 121001002101.

It is a happy number.

It is not a de Polignac number, because 101200100121 - 2¹⁰ = 101200099097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101200107121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9964396 + ... + 9974546.

It is an arithmetic number, because the mean of its divisors is an integer number (3234071880).

Almost surely, 2^101200100121 is an apocalyptic number.

It is an amenable number.

101200100121 is a deficient number, since it is larger than the sum of its proper divisors (54035350119).

101200100121 is a wasteful number, since it uses less digits than its factorization.

101200100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10686 (or 10683 counting only the distinct ones).

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

Adding to 101200100121 its reverse (121001002101), we get a palindrome (222201102222).

The spelling of 101200100121 in words is "one hundred one billion, two hundred million, one hundred thousand, one hundred twenty-one".