21112211201000 has 128 divisors (see below), whose sum is σ = 52081234882560. Its totient is φ = 7998585984000.

The previous prime is 21112211200957. The next prime is 21112211201009. The reversal of 21112211201000 is 10211221112.

It is not an unprimeable number, because it can be changed into a prime (21112211201009) 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, 5788097 + ... + 8702096.

It is an arithmetic number, because the mean of its divisors is an integer number (406884647520).

Almost surely, 2^{21112211201000} is an apocalyptic number.

21112211201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112211201000 is an abundant number, since it is smaller than the sum of its proper divisors (30969023681560).

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

21112211201000 is a wasteful number, since it uses less digits than its factorization.

21112211201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14490292 (or 14490278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21112211201000 its reverse (10211221112), we get a palindrome (21122422422112).

It can be divided in two parts, 21112 and 211201000, that added together give a palindrome (211222112).

The spelling of 21112211201000 in words is "twenty-one trillion, one hundred twelve billion, two hundred eleven million, two hundred one thousand".