101101021000200 has 144 divisors (see below), whose sum is σ = 365648692702020. Its totient is φ = 24886405163520.

The previous prime is 101101021000183. The next prime is 101101021000211. The reversal of 101101021000200 is 2000120101101.

It is a happy number.

101101021000200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 32048211720996 + 69052809279204 = 5661114^2 + 8309802^2 .

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 35 ways as a sum of consecutive naturals, for example, 2160254827 + ... + 2160301626.

Almost surely, 2^{101101021000200} is an apocalyptic number.

101101021000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101021000200 is an abundant number, since it is smaller than the sum of its proper divisors (264547671701820).

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

101101021000200 is a wasteful number, since it uses less digits than its factorization.

101101021000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320556488 (or 4320556476 counting only the distinct ones).

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

Adding to 101101021000200 its reverse (2000120101101), we get a palindrome (103101141101301).

The spelling of 101101021000200 in words is "one hundred one trillion, one hundred one billion, twenty-one million, two hundred", and thus it is an aban number.