10220121000 has 128 divisors (see below), whose sum is σ = 35429846400. Its totient is φ = 2725358400.

The previous prime is 10220120983. The next prime is 10220121007. The reversal of 10220121000 is 12102201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10220121007) 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, 162262 + ... + 216261.

It is an arithmetic number, because the mean of its divisors is an integer number (276795675).

Almost surely, 2^10220121000 is an apocalyptic number.

10220121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220121000 is an abundant number, since it is smaller than the sum of its proper divisors (25209725400).

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

10220121000 is a wasteful number, since it uses less digits than its factorization.

10220121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378553 (or 378533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10220121000 its reverse (12102201), we get a palindrome (10232223201).

It can be divided in two parts, 102201 and 21000, that added together give a square (123201 = 351²).

The spelling of 10220121000 in words is "ten billion, two hundred twenty million, one hundred twenty-one thousand".