101400300100 has 144 divisors (see below), whose sum is σ = 263663124480. Its totient is φ = 33413212800.

The previous prime is 101400300097. The next prime is 101400300103. The reversal of 101400300100 is 1003004101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101400300097) and next prime (101400300103).

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 (101400300103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375229 + ... + 586171.

It is an arithmetic number, because the mean of its divisors is an integer number (1830993920).

Almost surely, 2^101400300100 is an apocalyptic number.

101400300100 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 101400300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131831562240).

101400300100 is an abundant number, since it is smaller than the sum of its proper divisors (162262824380).

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

101400300100 is a wasteful number, since it uses less digits than its factorization.

101400300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211010 (or 211003 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101400300100 its reverse (1003004101), we get a palindrome (102403304201).

The spelling of 101400300100 in words is "one hundred one billion, four hundred million, three hundred thousand, one hundred".