102000101100 has 72 divisors (see below), whose sum is σ = 295966213200. Its totient is φ = 27122062080.

The previous prime is 102000101081. The next prime is 102000101101. The reversal of 102000101100 is 1101000201.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (102000101101) 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, 382407 + ... + 591806.

It is an arithmetic number, because the mean of its divisors is an integer number (4110641850).

Almost surely, 2^102000101100 is an apocalyptic number.

102000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000101100 is an abundant number, since it is smaller than the sum of its proper divisors (193966112100).

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

102000101100 is a wasteful number, since it uses less digits than its factorization.

102000101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974579 (or 974572 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 102000101100 its reverse (1101000201), we get a palindrome (103101101301).

It can be divided in two parts, 102000101 and 100, that added together give a palindrome (102000201).

The spelling of 102000101100 in words is "one hundred two billion, one hundred one thousand, one hundred".