211011101002120 has 128 divisors (see below), whose sum is σ = 480475775520000. Its totient is φ = 83394788944896.

The previous prime is 211011101002027. The next prime is 211011101002127. The reversal of 211011101002120 is 21200101110112.

It is a happy number.

It is a super-2 number, since 2×211011101002120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211011101002120.

It is not an unprimeable number, because it can be changed into a prime (211011101002127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8957457382 + ... + 8957480938.

It is an arithmetic number, because the mean of its divisors is an integer number (3753716996250).

Almost surely, 2^{211011101002120} is an apocalyptic number.

211011101002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011101002120 is an abundant number, since it is smaller than the sum of its proper divisors (269464674517880).

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

211011101002120 is a wasteful number, since it uses less digits than its factorization.

211011101002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28527 (or 28523 counting only the distinct ones).

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

Adding to 211011101002120 its reverse (21200101110112), we get a palindrome (232211202112232).

The spelling of 211011101002120 in words is "two hundred eleven trillion, eleven billion, one hundred one million, two thousand, one hundred twenty".