10221021121010 has 192 divisors, whose sum is σ = 22669112632320. Its totient is φ = 3249164206080.

The previous prime is 10221021121009. The next prime is 10221021121013. The reversal of 10221021121010 is 1012112012201.

It is a super-2 number, since 2×10221021121010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10221021121013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 736749434 + ... + 736763306.

It is an arithmetic number, because the mean of its divisors is an integer number (118068294960).

Almost surely, 2^{10221021121010} is an apocalyptic number.

10221021121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10221021121010 is an abundant number, since it is smaller than the sum of its proper divisors (12448091511310).

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

10221021121010 is a wasteful number, since it uses less digits than its factorization.

10221021121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14461 (or 14444 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221021121010 its reverse (1012112012201), we get a palindrome (11233133133211).

The spelling of 10221021121010 in words is "ten trillion, two hundred twenty-one billion, twenty-one million, one hundred twenty-one thousand, ten".