102112001440 has 96 divisors (see below), whose sum is σ = 255515374800. Its totient is φ = 38429343744.

The previous prime is 102112001429. The next prime is 102112001483. The reversal of 102112001440 is 44100211201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82858773904 + 19253227536 = 287852^2 + 138756^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 13522786 + ... + 13530334.

Almost surely, 2^102112001440 is an apocalyptic number.

102112001440 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 102112001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127757687400).

102112001440 is an abundant number, since it is smaller than the sum of its proper divisors (153403373360).

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

102112001440 is a wasteful number, since it uses less digits than its factorization.

102112001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12554 (or 12546 counting only the distinct ones).

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

Adding to 102112001440 its reverse (44100211201), we get a palindrome (146212212641).

The spelling of 102112001440 in words is "one hundred two billion, one hundred twelve million, one thousand, four hundred forty".