10221211101020 has 48 divisors (see below), whose sum is σ = 21555468900000. Its totient is φ = 4071201792000.

The previous prime is 10221211100993. The next prime is 10221211101041. The reversal of 10221211101020 is 2010111212201.

It is a super-2 number, since 2×10221211101020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221211100986 and 10221211101004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3340520 + ... + 5621520.

It is an arithmetic number, because the mean of its divisors is an integer number (449072268750).

Almost surely, 2^{10221211101020} is an apocalyptic number.

10221211101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221211101020 is an abundant number, since it is smaller than the sum of its proper divisors (11334257798980).

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

10221211101020 is a wasteful number, since it uses less digits than its factorization.

10221211101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281958 (or 2281956 counting only the distinct ones).

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

Adding to 10221211101020 its reverse (2010111212201), we get a palindrome (12231322313221).

The spelling of 10221211101020 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, one hundred one thousand, twenty".