202105420000 has 240 divisors, whose sum is σ = 543805726464. Its totient is φ = 73304000000.

The previous prime is 202105419991. The next prime is 202105420001. The reversal of 202105420000 is 24501202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202105420001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108019065 + ... + 108020935.

Almost surely, 2^202105420000 is an apocalyptic number.

202105420000 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 202105420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271902863232).

202105420000 is an abundant number, since it is smaller than the sum of its proper divisors (341700306464).

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

202105420000 is a wasteful number, since it uses less digits than its factorization.

202105420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 202105420000 its reverse (24501202), we get a palindrome (202129921202).

The spelling of 202105420000 in words is "two hundred two billion, one hundred five million, four hundred twenty thousand".