210220001221120 has 160 divisors (see below), whose sum is σ = 549958149550656. Its totient is φ = 76429531545600.

The previous prime is 210220001221049. The next prime is 210220001221129. The reversal of 210220001221120 is 21122100022012.

It is a happy number.

210220001221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×210220001221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210220001221094 and 210220001221103.

It is not an unprimeable number, because it can be changed into a prime (210220001221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152532547 + ... + 153904573.

Almost surely, 2^{210220001221120} is an apocalyptic number.

210220001221120 is a gapful number since it is divisible by the number (20) 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 210220001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274979074775328).

210220001221120 is an abundant number, since it is smaller than the sum of its proper divisors (339738148329536).

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

210220001221120 is a wasteful number, since it uses less digits than its factorization.

210220001221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377502 (or 1377486 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210220001221120 its reverse (21122100022012), we get a palindrome (231342101243132).

The spelling of 210220001221120 in words is "two hundred ten trillion, two hundred twenty billion, one million, two hundred twenty-one thousand, one hundred twenty".