101121221210 has 64 divisors (see below), whose sum is σ = 198307432224. Its totient is φ = 36980736000.

The previous prime is 101121221207. The next prime is 101121221213. The reversal of 101121221210 is 12122121101.

It is an interprime number because it is at equal distance from previous prime (101121221207) and next prime (101121221213).

It can be written as a sum of positive squares in 16 ways, for example, as 62180908321 + 38940312889 = 249361^2 + 197333^2 .

It is not an unprimeable number, because it can be changed into a prime (101121221213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854450 + ... + 965570.

Almost surely, 2^101121221210 is an apocalyptic number.

101121221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101121221210 is a deficient number, since it is larger than the sum of its proper divisors (97186211014).

101121221210 is a wasteful number, since it uses less digits than its factorization.

101121221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111299.

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

Adding to 101121221210 its reverse (12122121101), we get a palindrome (113243342311).

The spelling of 101121221210 in words is "one hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred ten".