1101000020120 has 768 divisors, whose sum is σ = 3555377280000. Its totient is φ = 297747394560.

The previous prime is 1101000020069. The next prime is 1101000020179. The reversal of 1101000020120 is 210200001011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1101000020098 and 1101000020107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1246885199 + ... + 1246886081.

It is an arithmetic number, because the mean of its divisors is an integer number (4629397500).

Almost surely, 2^{1101000020120} is an apocalyptic number.

1101000020120 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 1101000020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777688640000).

1101000020120 is an abundant number, since it is smaller than the sum of its proper divisors (2454377259880).

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

1101000020120 is a wasteful number, since it uses less digits than its factorization.

1101000020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1101000020120 its reverse (210200001011), we get a palindrome (1311200021131).

The spelling of 1101000020120 in words is "one trillion, one hundred one billion, twenty thousand, one hundred twenty".