2101211212032 has 432 divisors, whose sum is σ = 6371282805888. Its totient is φ = 665237422080.

The previous prime is 2101211212019. The next prime is 2101211212117. The reversal of 2101211212032 is 2302121121012.

2101211212032 is a `hidden beast` number, since 210 + 1 + 211 + 212 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101211211996 and 2101211212014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1612594293 + ... + 1612595595.

Almost surely, 2^{2101211212032} 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 2101211212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185641402944).

2101211212032 is an abundant number, since it is smaller than the sum of its proper divisors (4270071593856).

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

2101211212032 is a wasteful number, since it uses less digits than its factorization.

2101211212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2101211212032 its reverse (2302121121012), we get a palindrome (4403332333044).

The spelling of 2101211212032 in words is "two trillion, one hundred one billion, two hundred eleven million, two hundred twelve thousand, thirty-two".