102012009372 has 288 divisors, whose sum is σ = 325157414400. Its totient is φ = 26251070976.

The previous prime is 102012009367. The next prime is 102012009377. The reversal of 102012009372 is 273900210201.

It is an interprime number because it is at equal distance from previous prime (102012009367) and next prime (102012009377).

It is a super-2 number, since 2×102012009372² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012009377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26864578 + ... + 26868374.

It is an arithmetic number, because the mean of its divisors is an integer number (1129018800).

Almost surely, 2^102012009372 is an apocalyptic number.

102012009372 is a gapful number since it is divisible by the number (12) 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 102012009372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162578707200).

102012009372 is an abundant number, since it is smaller than the sum of its proper divisors (223145405028).

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

102012009372 is a wasteful number, since it uses less digits than its factorization.

102012009372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 102012009372 its reverse (273900210201), we get a palindrome (375912219573).

The spelling of 102012009372 in words is "one hundred two billion, twelve million, nine thousand, three hundred seventy-two".