101012002014 has 144 divisors (see below), whose sum is σ = 256749720192. Its totient is φ = 25931373600.

The previous prime is 101012001997. The next prime is 101012002031. The reversal of 101012002014 is 410200210101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101012001997) and next prime (101012002031).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234366379 + ... + 234366809.

It is an arithmetic number, because the mean of its divisors is an integer number (1782984168).

Almost surely, 2^101012002014 is an apocalyptic number.

101012002014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012002014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128374860096).

101012002014 is an abundant number, since it is smaller than the sum of its proper divisors (155737718178).

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

101012002014 is a wasteful number, since it uses less digits than its factorization.

101012002014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101012002014 its reverse (410200210101), we get a palindrome (511212212115).

The spelling of 101012002014 in words is "one hundred one billion, twelve million, two thousand, fourteen".