90201253220100 has 144 divisors (see below), whose sum is σ = 316342173013440. Its totient is φ = 21866970470400.

The previous prime is 90201253220093. The next prime is 90201253220123. The reversal of 90201253220100 is 102235210209.

It is a happy number.

90201253220100 is a `hidden beast` number, since 9 + 0 + 2 + 0 + 1 + 2 + 532 + 20 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1518509917 + ... + 1518569316.

Almost surely, 2^{90201253220100} is an apocalyptic number.

90201253220100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90201253220100 is an abundant number, since it is smaller than the sum of its proper divisors (226140919793340).

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

90201253220100 is a wasteful number, since it uses less digits than its factorization.

90201253220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037079267 (or 3037079254 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 90201253220100 its reverse (102235210209), we get a palindrome (90303488430309).

The spelling of 90201253220100 in words is "ninety trillion, two hundred one billion, two hundred fifty-three million, two hundred twenty thousand, one hundred".