101121212000 has 96 divisors (see below), whose sum is σ = 248583613824. Its totient is φ = 40427520000.

The previous prime is 101121211991. The next prime is 101121212029. The reversal of 101121212000 is 212121101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9398624 + ... + 9409376.

It is an arithmetic number, because the mean of its divisors is an integer number (2589412644).

Almost surely, 2^101121212000 is an apocalyptic number.

101121212000 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 101121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124291806912).

101121212000 is an abundant number, since it is smaller than the sum of its proper divisors (147462401824).

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

101121212000 is a wasteful number, since it uses less digits than its factorization.

101121212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13129 (or 13111 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101121212000 its reverse (212121101), we get a palindrome (101333333101).

The spelling of 101121212000 in words is "one hundred one billion, one hundred twenty-one million, two hundred twelve thousand".