10211201984 has 56 divisors (see below), whose sum is σ = 20832915408. Its totient is φ = 4962263040.

The previous prime is 10211201983. The next prime is 10211202007. The reversal of 10211201984 is 48910211201.

It is a super-3 number, since 3×10211201984³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211201981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3036464 + ... + 3039824.

Almost surely, 2^10211201984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416457704).

10211201984 is an abundant number, since it is smaller than the sum of its proper divisors (10621713424).

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

10211201984 is a wasteful number, since it uses less digits than its factorization.

10211201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 10211201984 in words is "ten billion, two hundred eleven million, two hundred one thousand, nine hundred eighty-four".