1002120110020 has 48 divisors (see below), whose sum is σ = 2147408500608. Its totient is φ = 392738630400.

The previous prime is 1002120110011. The next prime is 1002120110029. The reversal of 1002120110020 is 200110212001.

1002120110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002120110011) and next prime (1002120110029).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002120109979 and 1002120110006.

It is not an unprimeable number, because it can be changed into a prime (1002120110029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052334 + ... + 2493253.

It is an arithmetic number, because the mean of its divisors is an integer number (44737677096).

Almost surely, 2^{1002120110020} is an apocalyptic number.

1002120110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002120110020 is an abundant number, since it is smaller than the sum of its proper divisors (1145288390588).

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

1002120110020 is a wasteful number, since it uses less digits than its factorization.

1002120110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545820 (or 4545818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002120110020 its reverse (200110212001), we get a palindrome (1202230322021).

The spelling of 1002120110020 in words is "one trillion, two billion, one hundred twenty million, one hundred ten thousand, twenty".