101121100110000 has 800 divisors, whose sum is σ = 378793111403520. Its totient is φ = 25771350528000.

The previous prime is 101121100109999. The next prime is 101121100110013. The reversal of 101121100110000 is 11001121101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8091623752 + ... + 8091636248.

Almost surely, 2^{101121100110000} is an apocalyptic number.

101121100110000 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 101121100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189396555701760).

101121100110000 is an abundant number, since it is smaller than the sum of its proper divisors (277672011293520).

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

101121100110000 is a wasteful number, since it uses less digits than its factorization.

101121100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860 (or 13833 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101121100110000 its reverse (11001121101), we get a palindrome (101132101231101).

The spelling of 101121100110000 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred million, one hundred ten thousand".