21202000120 has 192 divisors, whose sum is σ = 56591861760. Its totient is φ = 7126560000.

The previous prime is 21202000103. The next prime is 21202000123. The reversal of 21202000120 is 2100020212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21202000097 and 21202000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202000123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34928857 + ... + 34929463.

It is an arithmetic number, because the mean of its divisors is an integer number (294749280).

Almost surely, 2^21202000120 is an apocalyptic number.

21202000120 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 21202000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28295930880).

21202000120 is an abundant number, since it is smaller than the sum of its proper divisors (35389861640).

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

21202000120 is a wasteful number, since it uses less digits than its factorization.

21202000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21202000120 its reverse (2100020212), we get a palindrome (23302020332).

The spelling of 21202000120 in words is "twenty-one billion, two hundred two million, one hundred twenty", and thus it is an aban number.