1020401000010 has 384 divisors, whose sum is σ = 3453769912320. Its totient is φ = 211350560256.

The previous prime is 1020400999967. The next prime is 1020401000011. The reversal of 1020401000010 is 100001040201.

It is a happy number.

It is a super-3 number, since 3×1020401000010³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020400999956 and 1020401000001.

It is not an unprimeable number, because it can be changed into a prime (1020401000011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7364734 + ... + 7502006.

It is an arithmetic number, because the mean of its divisors is an integer number (8994192480).

Almost surely, 2^{1020401000010} is an apocalyptic number.

1020401000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020401000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726884956160).

1020401000010 is an abundant number, since it is smaller than the sum of its proper divisors (2433368912310).

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

1020401000010 is a wasteful number, since it uses less digits than its factorization.

1020401000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137344 (or 137332 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020401000010 its reverse (100001040201), we get a palindrome (1120402040211).

The spelling of 1020401000010 in words is "one trillion, twenty billion, four hundred one million, ten", and thus it is an aban number.