1001121010020 has 36 divisors (see below), whose sum is σ = 3036733730940. Its totient is φ = 266965602624.

The previous prime is 1001121010003. The next prime is 1001121010027. The reversal of 1001121010020 is 200101211001.

It is a happy number.

1001121010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 786116303424 + 215004706596 = 886632^2 + 463686^2 .

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 = 1001121009984 and 1001121010011.

It is not an unprimeable number, because it can be changed into a prime (1001121010027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2780891515 + ... + 2780891874.

Almost surely, 2^{1001121010020} is an apocalyptic number.

1001121010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001121010020 is an abundant number, since it is smaller than the sum of its proper divisors (2035612720920).

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

1001121010020 is a wasteful number, since it uses less digits than its factorization.

1001121010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561783404 (or 5561783399 counting only the distinct ones).

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

Adding to 1001121010020 its reverse (200101211001), we get a palindrome (1201222221021).

The spelling of 1001121010020 in words is "one trillion, one billion, one hundred twenty-one million, ten thousand, twenty".