101410100 has 162 divisors, whose sum is σ = 265809810. Its totient is φ = 33510400.

The previous prime is 101410079. The next prime is 101410103. The reversal of 101410100 is 1014101.

It can be written as a sum of positive squares in 9 ways, for example, as 5134756 + 96275344 = 2266^2 + 9812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101410103) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3496886 + ... + 3496914.

Almost surely, 2^101410100 is an apocalyptic number.

101410100 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 101410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132904905).

101410100 is an abundant number, since it is smaller than the sum of its proper divisors (164399710).

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

101410100 is a wasteful number, since it uses less digits than its factorization.

101410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101410100 is about 10070.2581893415. The cubic root of 101410100 is about 466.3304096955.

Adding to 101410100 its reverse (1014101), we get a palindrome (102424201).

Multiplying 101410100 by its reverse (1014101), we get a square (102840083820100 = 10141010²).

101410100 divided by its reverse (1014101) gives a square (100 = 10²).

The spelling of 101410100 in words is "one hundred one million, four hundred ten thousand, one hundred".