101032122100 has 144 divisors (see below), whose sum is σ = 276415808256. Its totient is φ = 31195008000.

The previous prime is 101032122097. The next prime is 101032122143. The reversal of 101032122100 is 1221230101.

101032122100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237705 + ... + 508495.

It is an arithmetic number, because the mean of its divisors is an integer number (1919554224).

Almost surely, 2^101032122100 is an apocalyptic number.

101032122100 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 101032122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138207904128).

101032122100 is an abundant number, since it is smaller than the sum of its proper divisors (175383686156).

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

101032122100 is a wasteful number, since it uses less digits than its factorization.

101032122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270866 (or 270859 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101032122100 its reverse (1221230101), we get a palindrome (102253352201).

The spelling of 101032122100 in words is "one hundred one billion, thirty-two million, one hundred twenty-two thousand, one hundred".