1002121111020 has 192 divisors, whose sum is σ = 2933044369920. Its totient is φ = 255325120512.

The previous prime is 1002121111009. The next prime is 1002121111039. The reversal of 1002121111020 is 201111212001.

1002121111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1002121110987 and 1002121111005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209077744 + ... + 209082536.

It is an arithmetic number, because the mean of its divisors is an integer number (15276272760).

Almost surely, 2^{1002121111020} is an apocalyptic number.

1002121111020 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 1002121111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466522184960).

1002121111020 is an abundant number, since it is smaller than the sum of its proper divisors (1930923258900).

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

1002121111020 is a wasteful number, since it uses less digits than its factorization.

1002121111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6062 counting only the distinct ones).

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

Adding to 1002121111020 its reverse (201111212001), we get a palindrome (1203232323021).

The spelling of 1002121111020 in words is "one trillion, two billion, one hundred twenty-one million, one hundred eleven thousand, twenty".