30101101322100 has 144 divisors (see below), whose sum is σ = 88984539291648. Its totient is φ = 7852730405760.

The previous prime is 30101101322093. The next prime is 30101101322101. The reversal of 30101101322100 is 122310110103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30101101322100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30101101322101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31779969 + ... + 32713431.

Almost surely, 2^{30101101322100} is an apocalyptic number.

30101101322100 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 30101101322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44492269645824).

30101101322100 is an abundant number, since it is smaller than the sum of its proper divisors (58883437969548).

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

30101101322100 is a wasteful number, since it uses less digits than its factorization.

30101101322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935814 (or 935807 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 30101101322100 its reverse (122310110103), we get a palindrome (30223411432203).

The spelling of 30101101322100 in words is "thirty trillion, one hundred one billion, one hundred one million, three hundred twenty-two thousand, one hundred".