202128220100 has 36 divisors (see below), whose sum is σ = 464419314324. Its totient is φ = 76095329280.

The previous prime is 202128220097. The next prime is 202128220103. The reversal of 202128220100 is 1022821202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (202128220097) and next prime (202128220103).

It can be written as a sum of positive squares in 6 ways, for example, as 20980943104 + 181147276996 = 144848^2 + 425614^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (202128220103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59447777 + ... + 59451176.

It is an arithmetic number, because the mean of its divisors is an integer number (12900536509).

Almost surely, 2^202128220100 is an apocalyptic number.

202128220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202128220100 is an abundant number, since it is smaller than the sum of its proper divisors (262291094224).

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

202128220100 is a wasteful number, since it uses less digits than its factorization.

202128220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118898984 (or 118898977 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 202128220100 in words is "two hundred two billion, one hundred twenty-eight million, two hundred twenty thousand, one hundred".