1020401020 has 48 divisors (see below), whose sum is σ = 2213205120. Its totient is φ = 394955264.

The previous prime is 1020401017. The next prime is 1020401077. The reversal of 1020401020 is 201040201.

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 = 1020400988 and 1020401006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77562 + ... + 89758.

It is an arithmetic number, because the mean of its divisors is an integer number (46108440).

Almost surely, 2^1020401020 is an apocalyptic number.

1020401020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020401020 is an abundant number, since it is smaller than the sum of its proper divisors (1192804100).

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

1020401020 is a wasteful number, since it uses less digits than its factorization.

1020401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12342 (or 12340 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1020401020 is about 31943.7164400137. The cubic root of 1020401020 is about 1006.7546124843.

Adding to 1020401020 its reverse (201040201), we get a palindrome (1221441221).

The spelling of 1020401020 in words is "one billion, twenty million, four hundred one thousand, twenty".