101210001001001 has 8 divisors (see below), whose sum is σ = 101294405196000. Its totient is φ = 101125631712672.

The previous prime is 101210001000971. The next prime is 101210001001007. The reversal of 101210001001001 is 100100100012101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101210001001001 - 2⁶ = 101210001000937 is a prime.

It is a Duffinian number.

101210001001001 is a modest number, since divided by 1001001 gives 101210 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 101210001001001.

It is not an unprimeable number, because it can be changed into a prime (101210001001007) 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, 2923751 + ... + 14524748.

It is an arithmetic number, because the mean of its divisors is an integer number (12661800649500).

Almost surely, 2^{101210001001001} is an apocalyptic number.

It is an amenable number.

101210001001001 is a deficient number, since it is larger than the sum of its proper divisors (84404194999).

101210001001001 is a wasteful number, since it uses less digits than its factorization.

101210001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17453335.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101210001001001 its reverse (100100100012101), we get a palindrome (201310101013102).

The spelling of 101210001001001 in words is "one hundred one trillion, two hundred ten billion, one million, one thousand, one".