101002121220012 has 96 divisors (see below), whose sum is σ = 253254460032000. Its totient is φ = 31215618312192.

The previous prime is 101002121219969. The next prime is 101002121220067. The reversal of 101002121220012 is 210022121200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002121219973 and 101002121220000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8452489 + ... + 16536287.

It is an arithmetic number, because the mean of its divisors is an integer number (2638067292000).

Almost surely, 2^{101002121220012} is an apocalyptic number.

101002121220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002121220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126627230016000).

101002121220012 is an abundant number, since it is smaller than the sum of its proper divisors (152252338811988).

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

101002121220012 is a wasteful number, since it uses less digits than its factorization.

101002121220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084735 (or 8084733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101002121220012 its reverse (210022121200101), we get a palindrome (311024242420113).

The spelling of 101002121220012 in words is "one hundred one trillion, two billion, one hundred twenty-one million, two hundred twenty thousand, twelve".