211121210101120 has 64 divisors (see below), whose sum is σ = 550594519543440. Its totient is φ = 76771349125120.

The previous prime is 211121210101099. The next prime is 211121210101159. The reversal of 211121210101120 is 21101012121112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×211121210101120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211121210101094 and 211121210101103.

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, 14994397087 + ... + 14994411166.

Almost surely, 2^{211121210101120} is an apocalyptic number.

211121210101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121210101120 is an abundant number, since it is smaller than the sum of its proper divisors (339473309442320).

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

211121210101120 is a wasteful number, since it uses less digits than its factorization.

211121210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29988808283 (or 29988808271 counting only the distinct ones).

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

Adding to 211121210101120 its reverse (21101012121112), we get a palindrome (232222222222232).

The spelling of 211121210101120 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred ten million, one hundred one thousand, one hundred twenty".