101002114005 has 96 divisors (see below), whose sum is σ = 180067432320. Its totient is φ = 48286817280.

The previous prime is 101002113967. The next prime is 101002114007. The reversal of 101002114005 is 500411200101.

It is a happy number.

It is not a de Polignac number, because 101002114005 - 2⁶ = 101002113941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002114007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91074391 + ... + 91075499.

It is an arithmetic number, because the mean of its divisors is an integer number (1875702420).

Almost surely, 2^101002114005 is an apocalyptic number.

101002114005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101002114005 is a deficient number, since it is larger than the sum of its proper divisors (79065318315).

101002114005 is a wasteful number, since it uses less digits than its factorization.

101002114005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 101002114005 its reverse (500411200101), we get a palindrome (601413314106).

The spelling of 101002114005 in words is "one hundred one billion, two million, one hundred fourteen thousand, five".