101410213014 has 120 divisors (see below), whose sum is σ = 249509482560. Its totient is φ = 29736669600.

The previous prime is 101410213007. The next prime is 101410213019. The reversal of 101410213014 is 410312014101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101410213019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8163472 + ... + 8175884.

It is an arithmetic number, because the mean of its divisors is an integer number (2079245688).

Almost surely, 2^101410213014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101410213014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124754741280).

101410213014 is an abundant number, since it is smaller than the sum of its proper divisors (148099269546).

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

101410213014 is a wasteful number, since it uses less digits than its factorization.

101410213014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12496 (or 12460 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101410213014 its reverse (410312014101), we get a palindrome (511722227115).

The spelling of 101410213014 in words is "one hundred one billion, four hundred ten million, two hundred thirteen thousand, fourteen".