1001021211120 has 80 divisors (see below), whose sum is σ = 3546475153920. Its totient is φ = 228804847872.

The previous prime is 1001021211103. The next prime is 1001021211137. The reversal of 1001021211120 is 211121201001.

It is an interprime number because it is at equal distance from previous prime (1001021211103) and next prime (1001021211137).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1001021211120² (a number of 25 digits) contains 22 as substring.

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 = 1001021211096 and 1001021211105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297921300 + ... + 297924659.

It is an arithmetic number, because the mean of its divisors is an integer number (44330939424).

Almost surely, 2^{1001021211120} is an apocalyptic number.

1001021211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001021211120 is an abundant number, since it is smaller than the sum of its proper divisors (2545453942800).

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

1001021211120 is a wasteful number, since it uses less digits than its factorization.

1001021211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595845982 (or 595845976 counting only the distinct ones).

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

Adding to 1001021211120 its reverse (211121201001), we get a palindrome (1212142412121).

The spelling of 1001021211120 in words is "one trillion, one billion, twenty-one million, two hundred eleven thousand, one hundred twenty".