101000121212120 has 128 divisors (see below), whose sum is σ = 247183672680000. Its totient is φ = 36918709708800.

The previous prime is 101000121212119. The next prime is 101000121212141. The reversal of 101000121212120 is 21212121000101.

It is a junction number, because it is equal to n+sod(n) for n = 101000121212095 and 101000121212104.

It is a congruent number.

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, 456760946 + ... + 456982014.

Almost surely, 2^{101000121212120} is an apocalyptic number.

101000121212120 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 101000121212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123591836340000).

101000121212120 is an abundant number, since it is smaller than the sum of its proper divisors (146183551467880).

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

101000121212120 is a wasteful number, since it uses less digits than its factorization.

101000121212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229893 (or 229889 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101000121212120 its reverse (21212121000101), we get a palindrome (122212242212221).

The spelling of 101000121212120 in words is "one hundred one trillion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".