101103002100 has 216 divisors, whose sum is σ = 331235049600. Its totient is φ = 25745322240.

The previous prime is 101103002057. The next prime is 101103002149. The reversal of 101103002100 is 1200301101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13389126 + ... + 13396674.

It is an arithmetic number, because the mean of its divisors is an integer number (1533495600).

Almost surely, 2^101103002100 is an apocalyptic number.

101103002100 is a gapful number since it is divisible by the number (10) 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 101103002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165617524800).

101103002100 is an abundant number, since it is smaller than the sum of its proper divisors (230132047500).

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

101103002100 is a wasteful number, since it uses less digits than its factorization.

101103002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101103002100 its reverse (1200301101), we get a palindrome (102303303201).

It can be divided in two parts, 10110300 and 2100, that added together give a square (10112400 = 3180²).

The spelling of 101103002100 in words is "one hundred one billion, one hundred three million, two thousand, one hundred".