2101632435216 has 120 divisors (see below), whose sum is σ = 6146487135360. Its totient is φ = 669693765888.

The previous prime is 2101632435211. The next prime is 2101632435241. The reversal of 2101632435216 is 6125342361012.

2101632435216 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 6 + 3 + 2 + 435 + 216 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2101632435211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3319731 + ... + 3901778.

It is an arithmetic number, because the mean of its divisors is an integer number (51220726128).

Almost surely, 2^{2101632435216} is an apocalyptic number.

It is an amenable number.

2101632435216 is an abundant number, since it is smaller than the sum of its proper divisors (4044854700144).

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

2101632435216 is a wasteful number, since it uses less digits than its factorization.

2101632435216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221613 (or 7221604 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 2101632435216 its reverse (6125342361012), we get a palindrome (8226974796228).

The spelling of 2101632435216 in words is "two trillion, one hundred one billion, six hundred thirty-two million, four hundred thirty-five thousand, two hundred sixteen".