221010001111120 has 80 divisors (see below), whose sum is σ = 554136219262080. Its totient is φ = 81491445268992.

The previous prime is 221010001111099. The next prime is 221010001111121. The reversal of 221010001111120 is 21111100010122.

It is a happy number.

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

It is a super-2 number, since 2×221010001111120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 221010001111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221010001111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145399090 + ... + 146911249.

It is an arithmetic number, because the mean of its divisors is an integer number (6926702740776).

Almost surely, 2^{221010001111120} is an apocalyptic number.

221010001111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010001111120 is an abundant number, since it is smaller than the sum of its proper divisors (333126218150960).

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

221010001111120 is a wasteful number, since it uses less digits than its factorization.

221010001111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292311092 (or 292311086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 221010001111120 its reverse (21111100010122), we get a palindrome (242121101121242).

The spelling of 221010001111120 in words is "two hundred twenty-one trillion, ten billion, one million, one hundred eleven thousand, one hundred twenty".