2211101201120 has 48 divisors (see below), whose sum is σ = 5969973246048. Its totient is φ = 758091840000.

The previous prime is 2211101201119. The next prime is 2211101201131. The reversal of 2211101201120 is 211021011122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2211101201095 and 2211101201104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 987097631 + ... + 987099870.

It is an arithmetic number, because the mean of its divisors is an integer number (124374442626).

Almost surely, 2^{2211101201120} is an apocalyptic number.

2211101201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211101201120 is an abundant number, since it is smaller than the sum of its proper divisors (3758872044928).

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

2211101201120 is a wasteful number, since it uses less digits than its factorization.

2211101201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974197523 (or 1974197515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2211101201120 its reverse (211021011122), we get a palindrome (2422122212242).

The spelling of 2211101201120 in words is "two trillion, two hundred eleven billion, one hundred one million, two hundred one thousand, one hundred twenty".