2101227408672 has 384 divisors, whose sum is σ = 6676759756800. Its totient is φ = 565877145600.

The previous prime is 2101227408671. The next prime is 2101227408677. The reversal of 2101227408672 is 2768047221012.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2101227408671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631187104 + ... + 631190432.

It is an arithmetic number, because the mean of its divisors is an integer number (17387395200).

Almost surely, 2^{2101227408672} 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 2101227408672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338379878400).

2101227408672 is an abundant number, since it is smaller than the sum of its proper divisors (4575532348128).

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

2101227408672 is a wasteful number, since it uses less digits than its factorization.

2101227408672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 2101227408672 in words is "two trillion, one hundred one billion, two hundred twenty-seven million, four hundred eight thousand, six hundred seventy-two".