101052200601 has 48 divisors (see below), whose sum is σ = 162298401408. Its totient is φ = 60073843200.

The previous prime is 101052200569. The next prime is 101052200603. The reversal of 101052200601 is 106002250101.

101052200601 is a `hidden beast` number, since 1 + 0 + 10 + 52 + 2 + 0 + 0 + 601 = 666.

It is not a de Polignac number, because 101052200601 - 2⁵ = 101052200569 is a prime.

It is a super-2 number, since 2×101052200601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101052200603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348225 + ... + 1421201.

It is an arithmetic number, because the mean of its divisors is an integer number (3381216696).

Almost surely, 2^101052200601 is an apocalyptic number.

101052200601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101052200601 is a deficient number, since it is larger than the sum of its proper divisors (61246200807).

101052200601 is a wasteful number, since it uses less digits than its factorization.

101052200601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73262 (or 73259 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 101052200601 its reverse (106002250101), we get a palindrome (207054450702).

The spelling of 101052200601 in words is "one hundred one billion, fifty-two million, two hundred thousand, six hundred one".