10001021211120 has 80 divisors (see below), whose sum is σ = 32826881400480. Its totient is φ = 2510060224512.

The previous prime is 10001021211059. The next prime is 10001021211169. The reversal of 10001021211120 is 2111212010001.

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

It is a super-2 number, since 2×10001021211120² (a number of 27 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 = 10001021211096 and 10001021211105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225611265 + ... + 1225619424.

It is an arithmetic number, because the mean of its divisors is an integer number (410336017506).

Almost surely, 2^{10001021211120} is an apocalyptic number.

10001021211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001021211120 is an abundant number, since it is smaller than the sum of its proper divisors (22825860189360).

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

10001021211120 is a wasteful number, since it uses less digits than its factorization.

10001021211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451230722 (or 2451230716 counting only the distinct ones).

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

Adding to 10001021211120 its reverse (2111212010001), we get a palindrome (12112233221121).

The spelling of 10001021211120 in words is "ten trillion, one billion, twenty-one million, two hundred eleven thousand, one hundred twenty".