101100121200 has 180 divisors, whose sum is σ = 377833794520. Its totient is φ = 24886172160.

The previous prime is 101100121153. The next prime is 101100121207. The reversal of 101100121200 is 2121001101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100121207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1033330 + ... + 1126929.

Almost surely, 2^101100121200 is an apocalyptic number.

101100121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100121200 is an abundant number, since it is smaller than the sum of its proper divisors (276733673320).

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

101100121200 is a wasteful number, since it uses less digits than its factorization.

101100121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160296 (or 2160282 counting only the distinct ones).

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

Adding to 101100121200 its reverse (2121001101), we get a palindrome (103221122301).

The spelling of 101100121200 in words is "one hundred one billion, one hundred million, one hundred twenty-one thousand, two hundred".