10121101220 has 24 divisors (see below), whose sum is σ = 21281983800. Its totient is φ = 4043169792.

The previous prime is 10121101219. The next prime is 10121101229. The reversal of 10121101220 is 2210112101.

It can be written as a sum of positive squares in 4 ways, for example, as 112699456 + 10008401764 = 10616^2 + 100042^2 .

It is not an unprimeable number, because it can be changed into a prime (10121101229) 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 7 ways as a sum of consecutive naturals, for example, 313655 + ... + 344414.

It is an arithmetic number, because the mean of its divisors is an integer number (886749325).

Almost surely, 2^10121101220 is an apocalyptic number.

10121101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121101220 is an abundant number, since it is smaller than the sum of its proper divisors (11160882580).

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

10121101220 is a wasteful number, since it uses less digits than its factorization.

10121101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658847 (or 658845 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10121101220 its reverse (2210112101), we get a palindrome (12331213321).

The spelling of 10121101220 in words is "ten billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty".