10001211201120 has 96 divisors (see below), whose sum is σ = 31512540320352. Its totient is φ = 2666251026432.

The previous prime is 10001211201109. The next prime is 10001211201133. The reversal of 10001211201120 is 2110211210001.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 10001211201096 and 10001211201105.

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, 1149217 + ... + 4617696.

It is an arithmetic number, because the mean of its divisors is an integer number (328255628337).

Almost surely, 2^{10001211201120} is an apocalyptic number.

10001211201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001211201120 is an abundant number, since it is smaller than the sum of its proper divisors (21511329119232).

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

10001211201120 is a wasteful number, since it uses less digits than its factorization.

10001211201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770544 (or 5770536 counting only the distinct ones).

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

Adding to 10001211201120 its reverse (2110211210001), we get a palindrome (12111422411121).

The spelling of 10001211201120 in words is "ten trillion, one billion, two hundred eleven million, two hundred one thousand, one hundred twenty".