1002101120 has 64 divisors (see below), whose sum is σ = 2414707200. Its totient is φ = 397651968.

The previous prime is 1002101077. The next prime is 1002101123. The reversal of 1002101120 is 211012001.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 1002101098 and 1002101107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002101123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75116 + ... + 87444.

It is an arithmetic number, because the mean of its divisors is an integer number (37729800).

Almost surely, 2^1002101120 is an apocalyptic number.

1002101120 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 1002101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207353600).

1002101120 is an abundant number, since it is smaller than the sum of its proper divisors (1412606080).

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

1002101120 is a wasteful number, since it uses less digits than its factorization.

1002101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12475 (or 12463 counting only the distinct ones).

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

The square root of 1002101120 is about 31655.9807935246. The cubic root of 1002101120 is about 1000.6998833823.

Adding to 1002101120 its reverse (211012001), we get a palindrome (1213113121).

The spelling of 1002101120 in words is "one billion, two million, one hundred one thousand, one hundred twenty".