101120121000 has 192 divisors, whose sum is σ = 356647000320. Its totient is φ = 25792905600.

The previous prime is 101120120929. The next prime is 101120121007. The reversal of 101120121000 is 121021101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101120121007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37252 + ... + 451251.

It is an arithmetic number, because the mean of its divisors is an integer number (1857536460).

Almost surely, 2^101120121000 is an apocalyptic number.

101120121000 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 101120121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178323500160).

101120121000 is an abundant number, since it is smaller than the sum of its proper divisors (255526879320).

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

101120121000 is a wasteful number, since it uses less digits than its factorization.

101120121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488553 (or 488536 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101120121000 its reverse (121021101), we get a palindrome (101241142101).

The spelling of 101120121000 in words is "one hundred one billion, one hundred twenty million, one hundred twenty-one thousand".