7100891721 has 192 divisors, whose sum is σ = 14156093952. Its totient is φ = 3317760000.

The previous prime is 7100891671. The next prime is 7100891747. The reversal of 7100891721 is 1271980017.

It is not a de Polignac number, because 7100891721 - 2¹⁴ = 7100875337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7100893721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29464161 + ... + 29464401.

It is an arithmetic number, because the mean of its divisors is an integer number (73729656).

Almost surely, 2^7100891721 is an apocalyptic number.

It is an amenable number.

7100891721 is a deficient number, since it is larger than the sum of its proper divisors (7055202231).

7100891721 is a wasteful number, since it uses less digits than its factorization.

7100891721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 7100891721 is about 84266.7889562668. The cubic root of 7100891721 is about 1922.0778035092.

The spelling of 7100891721 in words is "seven billion, one hundred million, eight hundred ninety-one thousand, seven hundred twenty-one".