101120031320100 has 72 divisors (see below), whose sum is σ = 315079646320320. Its totient is φ = 24891084631680.

The previous prime is 101120031320051. The next prime is 101120031320101. The reversal of 101120031320100 is 1023130021101.

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 101120031320100.

It is not an unprimeable number, because it can be changed into a prime (101120031320101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12964102680 + ... + 12964110479.

Almost surely, 2^{101120031320100} is an apocalyptic number.

101120031320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120031320100 is an abundant number, since it is smaller than the sum of its proper divisors (213959615000220).

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

101120031320100 is a wasteful number, since it uses less digits than its factorization.

101120031320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25928213189 (or 25928213182 counting only the distinct ones).

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

Adding to 101120031320100 its reverse (1023130021101), we get a palindrome (102143161341201).

The spelling of 101120031320100 in words is "one hundred one trillion, one hundred twenty billion, thirty-one million, three hundred twenty thousand, one hundred".