101201001001002 has 96 divisors (see below), whose sum is σ = 250875617091840. Its totient is φ = 28881961678080.

The previous prime is 101201001000989. The next prime is 101201001001129. The reversal of 101201001001002 is 200100100102101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2063996227 + ... + 2064045257.

It is an arithmetic number, because the mean of its divisors is an integer number (2613287678040).

Almost surely, 2^{101201001001002} is an apocalyptic number.

101201001001002 is an abundant number, since it is smaller than the sum of its proper divisors (149674616090838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101201001001002 is a wasteful number, since it uses less digits than its factorization.

101201001001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67188 (or 67185 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101201001001002 its reverse (200100100102101), we get a palindrome (301301101103103).

The spelling of 101201001001002 in words is "one hundred one trillion, two hundred one billion, one million, one thousand, two".