101008057601 has 16 divisors (see below), whose sum is σ = 116770550400. Its totient is φ = 86496681600.

The previous prime is 101008057517. The next prime is 101008057603. The reversal of 101008057601 is 106750800101.

It is a cyclic number.

It is not a de Polignac number, because 101008057601 - 2³⁰ = 99934315777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101008057603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3848381 + ... + 3874538.

It is an arithmetic number, because the mean of its divisors is an integer number (7298159400).

Almost surely, 2^101008057601 is an apocalyptic number.

101008057601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101008057601 is a deficient number, since it is larger than the sum of its proper divisors (15762492799).

101008057601 is a wasteful number, since it uses less digits than its factorization.

101008057601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7723000.

The product of its (nonzero) digits is 1680, while the sum is 29.

Adding to 101008057601 its reverse (106750800101), we get a palindrome (207758857702).

The spelling of 101008057601 in words is "one hundred one billion, eight million, fifty-seven thousand, six hundred one".