214022101120 has 64 divisors (see below), whose sum is σ = 541743471000. Its totient is φ = 80573022208.

The previous prime is 214022101099. The next prime is 214022101121. The reversal of 214022101120 is 21101220412.

It can be written as a sum of positive squares in 4 ways, for example, as 212712819264 + 1309281856 = 461208^2 + 36184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 214022101094 and 214022101103.

It is not an unprimeable number, because it can be changed into a prime (214022101121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9824695 + ... + 9846454.

Almost surely, 2^214022101120 is an apocalyptic number.

214022101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214022101120 is an abundant number, since it is smaller than the sum of its proper divisors (327721369880).

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

214022101120 is a wasteful number, since it uses less digits than its factorization.

214022101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19671185 (or 19671173 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 214022101120 its reverse (21101220412), we get a palindrome (235123321532).

The spelling of 214022101120 in words is "two hundred fourteen billion, twenty-two million, one hundred one thousand, one hundred twenty".