101002006501 has 48 divisors (see below), whose sum is σ = 121728660480. Its totient is φ = 82873692000.

The previous prime is 101002006481. The next prime is 101002006507. The reversal of 101002006501 is 105600200101.

It is a happy number.

It is not a de Polignac number, because 101002006501 - 2²¹ = 100999909349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002006507) 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, 29960346 + ... + 29963716.

It is an arithmetic number, because the mean of its divisors is an integer number (2536013760).

Almost surely, 2^101002006501 is an apocalyptic number.

101002006501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002006501 is a deficient number, since it is larger than the sum of its proper divisors (20726653979).

101002006501 is a wasteful number, since it uses less digits than its factorization.

101002006501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 101002006501 its reverse (105600200101), we get a palindrome (206602206602).

The spelling of 101002006501 in words is "one hundred one billion, two million, six thousand, five hundred one".