101114430332104 has 64 divisors (see below), whose sum is σ = 221155326000000. Its totient is φ = 43323067819584.

The previous prime is 101114430332099. The next prime is 101114430332147. The reversal of 101114430332104 is 401233034411101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5209947 + ... + 15145045.

It is an arithmetic number, because the mean of its divisors is an integer number (3455551968750).

Almost surely, 2^{101114430332104} is an apocalyptic number.

101114430332104 is a gapful number since it is divisible by the number (14) 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 101114430332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110577663000000).

101114430332104 is an abundant number, since it is smaller than the sum of its proper divisors (120040895667896).

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

101114430332104 is an equidigital number, since it uses as much as digits as its factorization.

101114430332104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938835 (or 9938817 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 101114430332104 its reverse (401233034411101), we get a palindrome (502347464743205).

The spelling of 101114430332104 in words is "one hundred one trillion, one hundred fourteen billion, four hundred thirty million, three hundred thirty-two thousand, one hundred four".