1010420420100 has 1728 divisors, whose sum is σ = 4085498511360. Its totient is φ = 190207180800.

The previous prime is 1010420420089. The next prime is 1010420420153. The reversal of 1010420420100 is 10240240101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010420420100.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7956066237 + ... + 7956066363.

It is an arithmetic number, because the mean of its divisors is an integer number (2364293120).

Almost surely, 2^{1010420420100} is an apocalyptic number.

1010420420100 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 1010420420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042749255680).

1010420420100 is an abundant number, since it is smaller than the sum of its proper divisors (3075078091260).

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

1010420420100 is a wasteful number, since it uses less digits than its factorization.

1010420420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1010420420100 its reverse (10240240101), we get a palindrome (1020660660201).

The spelling of 1010420420100 in words is "one trillion, ten billion, four hundred twenty million, four hundred twenty thousand, one hundred".