1021121001120 has 192 divisors, whose sum is σ = 3509633401344. Its totient is φ = 247495787520.

The previous prime is 1021121001107. The next prime is 1021121001139. The reversal of 1021121001120 is 211001211201.

It is a super-2 number, since 2×1021121001120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1021121001096 and 1021121001105.

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, 31891039 + ... + 31923041.

It is an arithmetic number, because the mean of its divisors is an integer number (18279340632).

Almost surely, 2^{1021121001120} is an apocalyptic number.

1021121001120 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 1021121001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754816700672).

1021121001120 is an abundant number, since it is smaller than the sum of its proper divisors (2488512400224).

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

1021121001120 is a wasteful number, since it uses less digits than its factorization.

1021121001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38075 (or 38067 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021121001120 its reverse (211001211201), we get a palindrome (1232122212321).

The spelling of 1021121001120 in words is "one trillion, twenty-one billion, one hundred twenty-one million, one thousand, one hundred twenty".