101101000200984 has 192 divisors, whose sum is σ = 335616884179200. Its totient is φ = 26849350464768.

The previous prime is 101101000200979. The next prime is 101101000201013. The reversal of 101101000200984 is 489002000101101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99093874 + ... + 100108929.

It is an arithmetic number, because the mean of its divisors is an integer number (1748004605100).

Almost surely, 2^{101101000200984} is an apocalyptic number.

101101000200984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101101000200984 is an abundant number, since it is smaller than the sum of its proper divisors (234515883978216).

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

101101000200984 is a wasteful number, since it uses less digits than its factorization.

101101000200984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199202894 (or 199202887 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 101101000200984 in words is "one hundred one trillion, one hundred one billion, two hundred thousand, nine hundred eighty-four".