202122100000 has 144 divisors (see below), whose sum is σ = 498663286632. Its totient is φ = 80640000000.

The previous prime is 202122099973. The next prime is 202122100001. The reversal of 202122100000 is 1221202.

202122100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 154961897104 + 47160202896 = 393652^2 + 217164^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 202122100000.

It is not an unprimeable number, because it can be changed into a prime (202122100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42097600 + ... + 42102400.

Almost surely, 2^202122100000 is an apocalyptic number.

202122100000 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 202122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249331643316).

202122100000 is an abundant number, since it is smaller than the sum of its proper divisors (296541186632).

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

202122100000 is an frugal number, since it uses more digits than its factorization.

202122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5229 counting only the distinct ones).

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

Adding to 202122100000 its reverse (1221202), we get a palindrome (202123321202).

It can be divided in two parts, 20212 and 2100000, that added together give a palindrome (2120212).

The spelling of 202122100000 in words is "two hundred two billion, one hundred twenty-two million, one hundred thousand".