101101120200 has 72 divisors (see below), whose sum is σ = 339531268050. Its totient is φ = 26960298240.

The previous prime is 101101120199. The next prime is 101101120201. The reversal of 101101120200 is 2021101101.

It is a happy number.

101101120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101101120199) and next prime (101101120201).

It can be written as a sum of positive squares in 3 ways, for example, as 75822028164 + 25279092036 = 275358^2 + 158994^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (101101120201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28081845 + ... + 28085444.

Almost surely, 2^101101120200 is an apocalyptic number.

101101120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101120200 is an abundant number, since it is smaller than the sum of its proper divisors (238430147850).

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

101101120200 is a wasteful number, since it uses less digits than its factorization.

101101120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56167311 (or 56167299 counting only the distinct ones).

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

Adding to 101101120200 its reverse (2021101101), we get a palindrome (103122221301).

The spelling of 101101120200 in words is "one hundred one billion, one hundred one million, one hundred twenty thousand, two hundred".