1002000101120 has 36 divisors (see below), whose sum is σ = 2400103370280. Its totient is φ = 400800039936.

The previous prime is 1002000101107. The next prime is 1002000101129. The reversal of 1002000101120 is 211010002001.

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 = 1002000101098 and 1002000101107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000101129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 391405010 + ... + 391407569.

Almost surely, 2^{1002000101120} is an apocalyptic number.

1002000101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002000101120 is an abundant number, since it is smaller than the sum of its proper divisors (1398103269160).

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

1002000101120 is an frugal number, since it uses more digits than its factorization.

1002000101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782812600 (or 782812586 counting only the distinct ones).

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

Adding to 1002000101120 its reverse (211010002001), we get a palindrome (1213010103121).

The spelling of 1002000101120 in words is "one trillion, two billion, one hundred one thousand, one hundred twenty".