101120001102100 has 36 divisors (see below), whose sum is σ = 223027622116348. Its totient is φ = 39784918464000.

The previous prime is 101120001102091. The next prime is 101120001102179. The reversal of 101120001102100 is 1201100021101.

101120001102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14870926288656 + 86249074813444 = 3856284^2 + 9287038^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8288518581 + ... + 8288530780.

Almost surely, 2^{101120001102100} is an apocalyptic number.

101120001102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120001102100 is an abundant number, since it is smaller than the sum of its proper divisors (121907621014248).

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

101120001102100 is a wasteful number, since it uses less digits than its factorization.

101120001102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16577049436 (or 16577049429 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101120001102100 its reverse (1201100021101), we get a palindrome (102321101123201).

It can be divided in two parts, 101120001 and 102100, that added together give a palindrome (101222101).

The spelling of 101120001102100 in words is "one hundred one trillion, one hundred twenty billion, one million, one hundred two thousand, one hundred".