211120001010 has 96 divisors (see below), whose sum is σ = 556279895808. Its totient is φ = 55544832000.

The previous prime is 211120000969. The next prime is 211120001033. The reversal of 211120001010 is 10100021112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211120000983 and 211120001001.

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 47 ways as a sum of consecutive naturals, for example, 5591154 + ... + 5628786.

It is an arithmetic number, because the mean of its divisors is an integer number (5794582248).

Almost surely, 2^211120001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278139947904).

211120001010 is an abundant number, since it is smaller than the sum of its proper divisors (345159894798).

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

211120001010 is a wasteful number, since it uses less digits than its factorization.

211120001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38480 (or 38477 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211120001010 its reverse (10100021112), we get a palindrome (221220022122).

The spelling of 211120001010 in words is "two hundred eleven billion, one hundred twenty million, one thousand, ten".