102011200112232 has 96 divisors (see below), whose sum is σ = 279390546793800. Its totient is φ = 33620954155008.

The previous prime is 102011200112221. The next prime is 102011200112243. The reversal of 102011200112232 is 232211002110201.

102011200112232 is a `hidden beast` number, since 1 + 0 + 201 + 120 + 0 + 112 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (102011200112221) and next prime (102011200112243).

It can be written as a sum of positive squares in 4 ways, for example, as 93119913817956 + 8891286294276 = 9649866^2 + 2981826^2 .

It is a super-3 number, since 3×102011200112232³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361609828 + ... + 361891820.

Almost surely, 2^{102011200112232} is an apocalyptic number.

102011200112232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011200112232 is an abundant number, since it is smaller than the sum of its proper divisors (177379346681568).

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

102011200112232 is a wasteful number, since it uses less digits than its factorization.

102011200112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338547 (or 338540 counting only the distinct ones).

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

Adding to 102011200112232 its reverse (232211002110201), we get a palindrome (334222202222433).

The spelling of 102011200112232 in words is "one hundred two trillion, eleven billion, two hundred million, one hundred twelve thousand, two hundred thirty-two".