30201371091900 has 288 divisors, whose sum is σ = 102825873722880. Its totient is φ = 7578272701440.

The previous prime is 30201371091893. The next prime is 30201371091911. The reversal of 30201371091900 is 919017310203.

It is a happy number.

It is a super-2 number, since 2×30201371091900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213961147 + ... + 214102253.

It is an arithmetic number, because the mean of its divisors is an integer number (357034283760).

Almost surely, 2^{30201371091900} is an apocalyptic number.

30201371091900 is a gapful number since it is divisible by the number (30) 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 30201371091900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51412936861440).

30201371091900 is an abundant number, since it is smaller than the sum of its proper divisors (72624502630980).

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

30201371091900 is a wasteful number, since it uses less digits than its factorization.

30201371091900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145810 (or 145797 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 30201371091900 in words is "thirty trillion, two hundred one billion, three hundred seventy-one million, ninety-one thousand, nine hundred".