101006005101 has 16 divisors (see below), whose sum is σ = 134942858304. Its totient is φ = 67203362304.

The previous prime is 101006005057. The next prime is 101006005103. The reversal of 101006005101 is 101500600101.

It is not a de Polignac number, because 101006005101 - 2⁷ = 101006004973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006005103) 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, 3718170 + ... + 3745236.

It is an arithmetic number, because the mean of its divisors is an integer number (8433928644).

Almost surely, 2^101006005101 is an apocalyptic number.

It is an amenable number.

101006005101 is a deficient number, since it is larger than the sum of its proper divisors (33936853203).

101006005101 is a wasteful number, since it uses less digits than its factorization.

101006005101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29500.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 101006005101 its reverse (101500600101), we get a palindrome (202506605202).

The spelling of 101006005101 in words is "one hundred one billion, six million, five thousand, one hundred one".