101310101002 has 24 divisors (see below), whose sum is σ = 176861734308. Its totient is φ = 43341217920.

The previous prime is 101310100943. The next prime is 101310101017. The reversal of 101310101002 is 200101013101.

It can be written as a sum of positive squares in 2 ways, for example, as 94451114241 + 6858986761 = 307329^2 + 82819^2 .

It is a super-3 number, since 3×101310101002³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101310101002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12308733 + ... + 12316960.

Almost surely, 2^101310101002 is an apocalyptic number.

101310101002 is a deficient number, since it is larger than the sum of its proper divisors (75551633306).

101310101002 is a wasteful number, since it uses less digits than its factorization.

101310101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24625734 (or 24625723 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101310101002 its reverse (200101013101), we get a palindrome (301411114103).

The spelling of 101310101002 in words is "one hundred one billion, three hundred ten million, one hundred one thousand, two".