101101000002100 has 72 divisors (see below), whose sum is σ = 251033662192320. Its totient is φ = 34621285413120.

The previous prime is 101101000002091. The next prime is 101101000002109. The reversal of 101101000002100 is 1200000101101.

It is an interprime number because it is at equal distance from previous prime (101101000002091) and next prime (101101000002109).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000002109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86742745 + ... + 87900544.

It is an arithmetic number, because the mean of its divisors is an integer number (3486578641560).

Almost surely, 2^{101101000002100} is an apocalyptic number.

101101000002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101000002100 is an abundant number, since it is smaller than the sum of its proper divisors (149932662190220).

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

101101000002100 is a wasteful number, since it uses less digits than its factorization.

101101000002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174644137 (or 174644130 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101101000002100 its reverse (1200000101101), we get a palindrome (102301000103201).

Subtracting from 101101000002100 its reverse (1200000101101), we obtain a palindrome (99900999900999).

The spelling of 101101000002100 in words is "one hundred one trillion, one hundred one billion, two thousand, one hundred".