101120221121000 has 128 divisors (see below), whose sum is σ = 239639482368000. Its totient is φ = 39932260992000.

The previous prime is 101120221120999. The next prime is 101120221121009. The reversal of 101120221121000 is 121122021101.

It is not an unprimeable number, because it can be changed into a prime (101120221121009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909945440 + ... + 910056560.

It is an arithmetic number, because the mean of its divisors is an integer number (1872183456000).

Almost surely, 2^{101120221121000} is an apocalyptic number.

101120221121000 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 101120221121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119819741184000).

101120221121000 is an abundant number, since it is smaller than the sum of its proper divisors (138519261247000).

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

101120221121000 is a wasteful number, since it uses less digits than its factorization.

101120221121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122740 (or 122726 counting only the distinct ones).

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

Adding to 101120221121000 its reverse (121122021101), we get a palindrome (101241343142101).

The spelling of 101120221121000 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty-one thousand".