201102009984 has 224 divisors, whose sum is σ = 601783590240. Its totient is φ = 66910302720.

The previous prime is 201102009961. The next prime is 201102010007. The reversal of 201102009984 is 489900201102.

It is an interprime number because it is at equal distance from previous prime (201102009961) and next prime (201102010007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 60371199 + ... + 60374529.

It is an arithmetic number, because the mean of its divisors is an integer number (2686533885).

Almost surely, 2^201102009984 is an apocalyptic number.

201102009984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300891795120).

201102009984 is an abundant number, since it is smaller than the sum of its proper divisors (400681580256).

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

201102009984 is an frugal number, since it uses more digits than its factorization.

201102009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 201102009984 in words is "two hundred one billion, one hundred two million, nine thousand, nine hundred eighty-four".