101026561401 has 12 divisors (see below), whose sum is σ = 145953999360. Its totient is φ = 67338697560.

The previous prime is 101026561373. The next prime is 101026561409. The reversal of 101026561401 is 104165620101.

101026561401 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 656 + 1 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 101026561401 - 2¹⁰ = 101026560377 is a prime.

It is a super-2 number, since 2×101026561401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101026561409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976641 + ... + 1075118.

It is an arithmetic number, because the mean of its divisors is an integer number (12162833280).

Almost surely, 2^101026561401 is an apocalyptic number.

It is an amenable number.

101026561401 is a deficient number, since it is larger than the sum of its proper divisors (44927437959).

101026561401 is a wasteful number, since it uses less digits than its factorization.

101026561401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057236 (or 2057233 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 101026561401 in words is "one hundred one billion, twenty-six million, five hundred sixty-one thousand, four hundred one".