101221121121010 has 64 divisors (see below), whose sum is σ = 204688925337600. Its totient is φ = 35725798180800.

The previous prime is 101221121120983. The next prime is 101221121121011. The reversal of 101221121121010 is 10121121122101.

It is not an unprimeable number, because it can be changed into a prime (101221121121011) 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, 98199156 + ... + 99224575.

It is an arithmetic number, because the mean of its divisors is an integer number (3198264458400).

Almost surely, 2^{101221121121010} is an apocalyptic number.

101221121121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221121121010 is an abundant number, since it is smaller than the sum of its proper divisors (103467804216590).

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

101221121121010 is a wasteful number, since it uses less digits than its factorization.

101221121121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197423887.

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

Adding to 101221121121010 its reverse (10121121122101), we get a palindrome (111342242243111).

The spelling of 101221121121010 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, ten".