101201001001001 has 4 divisors (see below), whose sum is σ = 110401092001104. Its totient is φ = 92000910000900.

The previous prime is 101201001000989. The next prime is 101201001001129. The reversal of 101201001001001 is 100100100102101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101201001001001 - 2³⁰ = 101199927259177 is a prime.

It is a Duffinian number.

101201001001001 is a modest number, since divided by 1001001 gives 101201 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 101201001001001.

It is not an unprimeable number, because it can be changed into a prime (101201001003001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4600045500035 + ... + 4600045500056.

It is an arithmetic number, because the mean of its divisors is an integer number (27600273000276).

Almost surely, 2^{101201001001001} is an apocalyptic number.

101201001001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201001001001 is a deficient number, since it is larger than the sum of its proper divisors (9200091000103).

101201001001001 is an equidigital number, since it uses as much as digits as its factorization.

101201001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200091000102.

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

Adding to 101201001001001 its reverse (100100100102101), we get a palindrome (201301101103102).

The spelling of 101201001001001 in words is "one hundred one trillion, two hundred one billion, one million, one thousand, one".