10221012212100 has 72 divisors (see below), whose sum is σ = 30372060105408. Its totient is φ = 2651938300800.

The previous prime is 10221012212071. The next prime is 10221012212141. The reversal of 10221012212100 is 121221012201.

It is a super-3 number, since 3×10221012212100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10221012212100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460394856 + ... + 460417055.

Almost surely, 2^{10221012212100} is an apocalyptic number.

10221012212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221012212100 is an abundant number, since it is smaller than the sum of its proper divisors (20151047893308).

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

10221012212100 is a wasteful number, since it uses less digits than its factorization.

10221012212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920811965 (or 920811958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221012212100 its reverse (121221012201), we get a palindrome (10342233224301).

The spelling of 10221012212100 in words is "ten trillion, two hundred twenty-one billion, twelve million, two hundred twelve thousand, one hundred".