101628459091 has 32 divisors (see below), whose sum is σ = 106663315968. Its totient is φ = 96753000960.

The previous prime is 101628459041. The next prime is 101628459109. The reversal of 101628459091 is 190954826101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101628459091 - 2²¹ = 101626361939 is a prime.

It is a super-2 number, since 2×101628459091² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101628459041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 136780866 + ... + 136781608.

It is an arithmetic number, because the mean of its divisors is an integer number (3333228624).

Almost surely, 2^101628459091 is an apocalyptic number.

101628459091 is a deficient number, since it is larger than the sum of its proper divisors (5034856877).

101628459091 is a wasteful number, since it uses less digits than its factorization.

101628459091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291.

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 101628459091 in words is "one hundred one billion, six hundred twenty-eight million, four hundred fifty-nine thousand, ninety-one".