211112101020 has 96 divisors (see below), whose sum is σ = 608409781056. Its totient is φ = 54655948800.

The previous prime is 211112101007. The next prime is 211112101033. The reversal of 211112101020 is 20101211112.

It is an interprime number because it is at equal distance from previous prime (211112101007) and next prime (211112101033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211112100987 and 211112101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920280 + ... + 1126560.

It is an arithmetic number, because the mean of its divisors is an integer number (6337601886).

Almost surely, 2^211112101020 is an apocalyptic number.

211112101020 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 211112101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304204890528).

211112101020 is an abundant number, since it is smaller than the sum of its proper divisors (397297680036).

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

211112101020 is a wasteful number, since it uses less digits than its factorization.

211112101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206791 (or 206789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211112101020 its reverse (20101211112), we get a palindrome (231213312132).

The spelling of 211112101020 in words is "two hundred eleven billion, one hundred twelve million, one hundred one thousand, twenty".