101149000200 has 144 divisors (see below), whose sum is σ = 339874080000. Its totient is φ = 26958614400.

The previous prime is 101149000193. The next prime is 101149000241. The reversal of 101149000200 is 2000941101.

101149000200 is a nontrivial binomial coefficient, being equal to C(449776, 2).

It is a super-2 number, since 2×101149000200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3584145 + ... + 3612255.

Almost surely, 2^101149000200 is an apocalyptic number.

101149000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101149000200 is the 449775-th triangular number and also the 224888-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101149000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169937040000).

101149000200 is an abundant number, since it is smaller than the sum of its proper divisors (238725079800).

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

101149000200 is a wasteful number, since it uses less digits than its factorization.

101149000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30132 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101149000200 its reverse (2000941101), we get a palindrome (103149941301).

The spelling of 101149000200 in words is "one hundred one billion, one hundred forty-nine million, two hundred", and thus it is an aban number.