102112014004 has 96 divisors (see below), whose sum is σ = 240064876800. Its totient is φ = 36702581760.

The previous prime is 102112013989. The next prime is 102112014019. The reversal of 102112014004 is 400410211201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102112013989) and next prime (102112014019).

It is a super-2 number, since 2×102112014004² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8117832 + ... + 8130400.

It is an arithmetic number, because the mean of its divisors is an integer number (2500675800).

Almost surely, 2^102112014004 is an apocalyptic number.

102112014004 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 102112014004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120032438400).

102112014004 is an abundant number, since it is smaller than the sum of its proper divisors (137952862796).

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

102112014004 is a wasteful number, since it uses less digits than its factorization.

102112014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14633 (or 14631 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102112014004 its reverse (400410211201), we get a palindrome (502522225205).

It can be divided in two parts, 10211201 and 4004, that multiplied together give a square (40885648804 = 202202²).

The spelling of 102112014004 in words is "one hundred two billion, one hundred twelve million, fourteen thousand, four".