10221122121010 has 8 divisors (see below), whose sum is σ = 18398019817836. Its totient is φ = 4088448848400.

The previous prime is 10221122120987. The next prime is 10221122121029. The reversal of 10221122121010 is 1012122112201.

10221122121010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10220418969721 + 703151289 = 3196939^2 + 26517^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×10221122121010² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 511056106041 + ... + 511056106060.

Almost surely, 2^{10221122121010} is an apocalyptic number.

10221122121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10221122121010 is a deficient number, since it is larger than the sum of its proper divisors (8176897696826).

10221122121010 is a wasteful number, since it uses less digits than its factorization.

10221122121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022112212108.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221122121010 its reverse (1012122112201), we get a palindrome (11233244233211).

The spelling of 10221122121010 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, ten".