101302100 has 36 divisors (see below), whose sum is σ = 222852924. Its totient is φ = 39962880.

The previous prime is 101302087. The next prime is 101302111. The reversal of 101302100 is 1203101.

It can be written as a sum of positive squares in 6 ways, for example, as 12716356 + 88585744 = 3566^2 + 9412^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362 + ... + 14238.

It is an arithmetic number, because the mean of its divisors is an integer number (6190359).

Almost surely, 2^101302100 is an apocalyptic number.

101302100 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 101302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111426462).

101302100 is an abundant number, since it is smaller than the sum of its proper divisors (121550824).

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

101302100 is a wasteful number, since it uses less digits than its factorization.

101302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13964 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101302100 is about 10064.8944356113. The cubic root of 101302100 is about 466.1648062902.

Adding to 101302100 its reverse (1203101), we get a palindrome (102505201).

The spelling of 101302100 in words is "one hundred one million, three hundred two thousand, one hundred".