101210002001 has 8 divisors (see below), whose sum is σ = 104705346600. Its totient is φ = 97715013760.

The previous prime is 101210001979. The next prime is 101210002031. The reversal of 101210002001 is 100200012101.

It can be written as a sum of positive squares in 4 ways, for example, as 27283110976 + 73926891025 = 165176^2 + 271895^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101210002001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101210002001.

It is not an unprimeable number, because it can be changed into a prime (101210002031) 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, 571991 + ... + 727731.

It is an arithmetic number, because the mean of its divisors is an integer number (13088168325).

Almost surely, 2^101210002001 is an apocalyptic number.

It is an amenable number.

101210002001 is a deficient number, since it is larger than the sum of its proper divisors (3495344599).

101210002001 is a wasteful number, since it uses less digits than its factorization.

101210002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178179.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101210002001 its reverse (100200012101), we get a palindrome (201410014102).

The spelling of 101210002001 in words is "one hundred one billion, two hundred ten million, two thousand, one".