212111210101120 has 128 divisors (see below), whose sum is σ = 553184047468800. Its totient is φ = 77130282055680.

The previous prime is 212111210101117. The next prime is 212111210101177. The reversal of 212111210101120 is 21101012111212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×212111210101120² (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 = 212111210101094 and 212111210101103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654973477 + ... + 655297243.

It is an arithmetic number, because the mean of its divisors is an integer number (4321750370850).

Almost surely, 2^{212111210101120} is an apocalyptic number.

212111210101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111210101120 is an abundant number, since it is smaller than the sum of its proper divisors (341072837367680).

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

212111210101120 is a wasteful number, since it uses less digits than its factorization.

212111210101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416856 (or 416844 counting only the distinct ones).

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

Adding to 212111210101120 its reverse (21101012111212), we get a palindrome (233212222212332).

The spelling of 212111210101120 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred ten million, one hundred one thousand, one hundred twenty".