10211221000020 has 96 divisors (see below), whose sum is σ = 28881559324800. Its totient is φ = 2695373017600.

The previous prime is 10211221000003. The next prime is 10211221000031. The reversal of 10211221000020 is 2000012211201.

10211221000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10211221000020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24842131 + ... + 25249829.

It is an arithmetic number, because the mean of its divisors is an integer number (300849576300).

Almost surely, 2^{10211221000020} is an apocalyptic number.

10211221000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211221000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440779662400).

10211221000020 is an abundant number, since it is smaller than the sum of its proper divisors (18670338324780).

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

10211221000020 is a wasteful number, since it uses less digits than its factorization.

10211221000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411945 (or 411943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211221000020 its reverse (2000012211201), we get a palindrome (12211233211221).

The spelling of 10211221000020 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, twenty", and thus it is an aban number.