101016611721 has 12 divisors (see below), whose sum is σ = 145916204148. Its totient is φ = 67342875264.

The previous prime is 101016611719. The next prime is 101016611723. The reversal of 101016611721 is 127116610101.

101016611721 is a `hidden beast` number, since 1 + 0 + 10 + 16 + 611 + 7 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (101016611719) and next prime (101016611723).

It can be written as a sum of positive squares in 2 ways, for example, as 32738921721 + 68277690000 = 180939^2 + 261300^2 .

It is not a de Polignac number, because 101016611721 - 2¹ = 101016611719 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101016611723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408021 + ... + 607053.

It is an arithmetic number, because the mean of its divisors is an integer number (12159683679).

Almost surely, 2^101016611721 is an apocalyptic number.

It is an amenable number.

101016611721 is a deficient number, since it is larger than the sum of its proper divisors (44899592427).

101016611721 is a wasteful number, since it uses less digits than its factorization.

101016611721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255432 (or 255429 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 101016611721 in words is "one hundred one billion, sixteen million, six hundred eleven thousand, seven hundred twenty-one".