1002142020 has 96 divisors (see below), whose sum is σ = 3118953600. Its totient is φ = 238351360.

The previous prime is 1002142019. The next prime is 1002142021. The reversal of 1002142020 is 202412001.

It is an interprime number because it is at equal distance from previous prime (1002142019) and next prime (1002142021).

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 = 1002141987 and 1002142005.

It is not an unprimeable number, because it can be changed into a prime (1002142021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20656 + ... + 49304.

It is an arithmetic number, because the mean of its divisors is an integer number (32489100).

Almost surely, 2^1002142020 is an apocalyptic number.

1002142020 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 1002142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559476800).

1002142020 is an abundant number, since it is smaller than the sum of its proper divisors (2116811580).

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

1002142020 is a wasteful number, since it uses less digits than its factorization.

1002142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28725 (or 28723 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1002142020 is about 31656.6267944012. The cubic root of 1002142020 is about 1000.7134974670.

Adding to 1002142020 its reverse (202412001), we get a palindrome (1204554021).

The spelling of 1002142020 in words is "one billion, two million, one hundred forty-two thousand, twenty".