1001212101120 has 320 divisors, whose sum is σ = 3990547731456. Its totient is φ = 208043950080.

The previous prime is 1001212101107. The next prime is 1001212101151. The reversal of 1001212101120 is 211012121001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001212101096 and 1001212101105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255174 + ... + 1437893.

Almost surely, 2^{1001212101120} is an apocalyptic number.

1001212101120 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 1001212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995273865728).

1001212101120 is an abundant number, since it is smaller than the sum of its proper divisors (2989335630336).

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

1001212101120 is a wasteful number, since it uses less digits than its factorization.

1001212101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693111 (or 1693095 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001212101120 its reverse (211012121001), we get a palindrome (1212224222121).

The spelling of 1001212101120 in words is "one trillion, one billion, two hundred twelve million, one hundred one thousand, one hundred twenty".