10121121010 has 288 divisors, whose sum is σ = 25739368704. Its totient is φ = 2830464000.

The previous prime is 10121120993. The next prime is 10121121061. The reversal of 10121121010 is 1012112101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37347175 + ... + 37347445.

It is an arithmetic number, because the mean of its divisors is an integer number (89372808).

Almost surely, 2^10121121010 is an apocalyptic number.

10121121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121121010 is an abundant number, since it is smaller than the sum of its proper divisors (15618247694).

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

10121121010 is a wasteful number, since it uses less digits than its factorization.

10121121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

10121121010 divided by its sum of digits (10) gives a palindrome (1012112101).

Adding to 10121121010 its reverse (1012112101), we get a palindrome (11133233111).

It can be divided in two parts, 101211 and 21010, that added together give a palindrome (122221).

The spelling of 10121121010 in words is "ten billion, one hundred twenty-one million, one hundred twenty-one thousand, ten".