101212122112002 has 48 divisors (see below), whose sum is σ = 240092293738752. Its totient is φ = 30559616768160.

The previous prime is 101212122112001. The next prime is 101212122112007. The reversal of 101212122112002 is 200211221212101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101212122112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922638898 + ... + 922748589.

It is an arithmetic number, because the mean of its divisors is an integer number (5001922786224).

Almost surely, 2^{101212122112002} is an apocalyptic number.

101212122112002 is an abundant number, since it is smaller than the sum of its proper divisors (138880171626750).

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

101212122112002 is a wasteful number, since it uses less digits than its factorization.

101212122112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845387783 (or 1845387780 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101212122112002 its reverse (200211221212101), we get a palindrome (301423343324103).

The spelling of 101212122112002 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand, two".