101060101100101 has 64 divisors (see below), whose sum is σ = 126382425442560. Its totient is φ = 79441979904000.

The previous prime is 101060101100047. The next prime is 101060101100107. The reversal of 101060101100101 is 101001101060101.

It is a cyclic number.

It is not a de Polignac number, because 101060101100101 - 2⁷ = 101060101099973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101060101100107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128864911 + ... + 129646771.

It is an arithmetic number, because the mean of its divisors is an integer number (1974725397540).

Almost surely, 2^{101060101100101} is an apocalyptic number.

101060101100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101060101100101 is a deficient number, since it is larger than the sum of its proper divisors (25322324342459).

101060101100101 is a wasteful number, since it uses less digits than its factorization.

101060101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782438.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101060101100101 its reverse (101001101060101), we get a palindrome (202061202160202).

The spelling of 101060101100101 in words is "one hundred one trillion, sixty billion, one hundred one million, one hundred thousand, one hundred one".