1001112001020 has 240 divisors, whose sum is σ = 3283858626048. Its totient is φ = 254827140480.

The previous prime is 1001112001013. The next prime is 1001112001031. The reversal of 1001112001020 is 201002111001.

It is a happy number.

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 = 1001112000993 and 1001112001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18118035 + ... + 18173205.

Almost surely, 2^{1001112001020} is an apocalyptic number.

1001112001020 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 1001112001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641929313024).

1001112001020 is an abundant number, since it is smaller than the sum of its proper divisors (2282746625028).

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

1001112001020 is a wasteful number, since it uses less digits than its factorization.

1001112001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55702 (or 55691 counting only the distinct ones).

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

Adding to 1001112001020 its reverse (201002111001), we get a palindrome (1202114112021).

The spelling of 1001112001020 in words is "one trillion, one billion, one hundred twelve million, one thousand, twenty".