101102100000 has 288 divisors, whose sum is σ = 361888212672. Its totient is φ = 24508800000.

The previous prime is 101102099963. The next prime is 101102100013. The reversal of 101102100000 is 1201101.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3284682 + ... + 3315318.

It is an arithmetic number, because the mean of its divisors is an integer number (1256556294).

Almost surely, 2^101102100000 is an apocalyptic number.

101102100000 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 101102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180944106336).

101102100000 is an abundant number, since it is smaller than the sum of its proper divisors (260786112672).

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

101102100000 is an equidigital number, since it uses as much as digits as its factorization.

101102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30686 (or 30658 counting only the distinct ones).

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

Adding to 101102100000 its reverse (1201101), we get a palindrome (101103301101).

It can be divided in two parts, 101102 and 100000, that added together give a palindrome (201102).

The spelling of 101102100000 in words is "one hundred one billion, one hundred two million, one hundred thousand".