100200101121000 has 96 divisors (see below), whose sum is σ = 338676341819400. Its totient is φ = 26720026963200.

The previous prime is 100200101120953. The next prime is 100200101121041. The reversal of 100200101121000 is 121101002001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6428263301604 + 93771837819396 = 2535402^2 + 9683586^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5566663285 + ... + 5566681284.

Almost surely, 2^{100200101121000} is an apocalyptic number.

100200101121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200101121000 is an abundant number, since it is smaller than the sum of its proper divisors (238476240698400).

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

100200101121000 is a wasteful number, since it uses less digits than its factorization.

100200101121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133344596 (or 11133344579 counting only the distinct ones).

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

Adding to 100200101121000 its reverse (121101002001), we get a palindrome (100321202123001).

The spelling of 100200101121000 in words is "one hundred trillion, two hundred billion, one hundred one million, one hundred twenty-one thousand".