101102112100 has 72 divisors (see below), whose sum is σ = 240410112768. Its totient is φ = 36599452800.

The previous prime is 101102112091. The next prime is 101102112107. The reversal of 101102112100 is 1211201101.

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

It is not an unprimeable number, because it can be changed into a prime (101102112107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39222 + ... + 451378.

It is an arithmetic number, because the mean of its divisors is an integer number (3339029344).

Almost surely, 2^101102112100 is an apocalyptic number.

101102112100 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 101102112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120205056384).

101102112100 is an abundant number, since it is smaller than the sum of its proper divisors (139308000668).

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

101102112100 is a wasteful number, since it uses less digits than its factorization.

101102112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412405 (or 412398 counting only the distinct ones).

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

Adding to 101102112100 its reverse (1211201101), we get a palindrome (102313313201).

The spelling of 101102112100 in words is "one hundred one billion, one hundred two million, one hundred twelve thousand, one hundred".