101212120000 has 140 divisors (see below), whose sum is σ = 251888163736. Its totient is φ = 40337280000.

The previous prime is 101212119997. The next prime is 101212120001. The reversal of 101212120000 is 21212101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212120001) 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 19 ways as a sum of consecutive naturals, for example, 11315530 + ... + 11324470.

Almost surely, 2^101212120000 is an apocalyptic number.

101212120000 is a gapful number since it is divisible by the number (10) 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 101212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125944081868).

101212120000 is an abundant number, since it is smaller than the sum of its proper divisors (150676043736).

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

101212120000 is an frugal number, since it uses more digits than its factorization.

101212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101212120000 its reverse (21212101), we get a palindrome (101233332101).

The spelling of 101212120000 in words is "one hundred one billion, two hundred twelve million, one hundred twenty thousand".