1010001112020 has 36 divisors (see below), whose sum is σ = 3063670040340. Its totient is φ = 269333629824.

The previous prime is 1010001112007. The next prime is 1010001112031. The reversal of 1010001112020 is 202111000101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 431065781136 + 578935330884 = 656556^2 + 760878^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1010001111993 and 1010001112011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2805558465 + ... + 2805558824.

It is an arithmetic number, because the mean of its divisors is an integer number (85101945565).

Almost surely, 2^{1010001112020} is an apocalyptic number.

1010001112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010001112020 is an abundant number, since it is smaller than the sum of its proper divisors (2053668928320).

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

1010001112020 is a wasteful number, since it uses less digits than its factorization.

1010001112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611117304 (or 5611117299 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010001112020 its reverse (202111000101), we get a palindrome (1212112112121).

The spelling of 1010001112020 in words is "one trillion, ten billion, one million, one hundred twelve thousand, twenty".