101002000010 has 16 divisors (see below), whose sum is σ = 182223477576. Its totient is φ = 40307493888.

The previous prime is 101002000009. The next prime is 101002000019. The reversal of 101002000010 is 10000200101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28822192441 + 72179807569 = 169771^2 + 268663^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 101001999958 and 101002000003.

It is not an unprimeable number, because it can be changed into a prime (101002000019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11658719 + ... + 11667378.

Almost surely, 2^101002000010 is an apocalyptic number.

101002000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002000010 is a deficient number, since it is larger than the sum of its proper divisors (81221477566).

101002000010 is a wasteful number, since it uses less digits than its factorization.

101002000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23326537.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 101002000010 its reverse (10000200101), we get a palindrome (111002200111).

The spelling of 101002000010 in words is "one hundred one billion, two million, ten", and thus it is an aban number.