211001110011120 has 320 divisors, whose sum is σ = 772899160287744. Its totient is φ = 46944099471360.

The previous prime is 211001110011053. The next prime is 211001110011149. The reversal of 211001110011120 is 21110011100112.

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 = 211001110011096 and 211001110011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11831574 + ... + 23706293.

Almost surely, 2^{211001110011120} is an apocalyptic number.

211001110011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001110011120 is an abundant number, since it is smaller than the sum of its proper divisors (561898050276624).

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

211001110011120 is a wasteful number, since it uses less digits than its factorization.

211001110011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35538080 (or 35538074 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211001110011120 its reverse (21110011100112), we get a palindrome (232111121111232).

The spelling of 211001110011120 in words is "two hundred eleven trillion, one billion, one hundred ten million, eleven thousand, one hundred twenty".