211210131121020 has 288 divisors, whose sum is σ = 717205942252800. Its totient is φ = 49998387566592.

The previous prime is 211210131120971. The next prime is 211210131121051. The reversal of 211210131121020 is 20121131012112.

It is a happy number.

211210131121020 is a `hidden beast` number, since 2 + 1 + 121 + 0 + 1 + 311 + 210 + 20 = 666.

It is a super-2 number, since 2×211210131121020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211210131120984 and 211210131121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5196051 + ... + 21199509.

It is an arithmetic number, because the mean of its divisors is an integer number (2490298410600).

Almost surely, 2^{211210131121020} is an apocalyptic number.

211210131121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211210131121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358602971126400).

211210131121020 is an abundant number, since it is smaller than the sum of its proper divisors (505995811131780).

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

211210131121020 is a wasteful number, since it uses less digits than its factorization.

211210131121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16003737 (or 16003732 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 211210131121020 its reverse (20121131012112), we get a palindrome (231331262133132).

The spelling of 211210131121020 in words is "two hundred eleven trillion, two hundred ten billion, one hundred thirty-one million, one hundred twenty-one thousand, twenty".