12001102100010 has 48 divisors (see below), whose sum is σ = 31383228884904. Its totient is φ = 3181795080576.

The previous prime is 12001102099979. The next prime is 12001102100011. The reversal of 12001102100010 is 1000120110021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11950302800241 + 50799299769 = 3456921^2 + 225387^2 .

It is a super-3 number, since 3×12001102100010³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12001102099965 and 12001102100001.

It is not an unprimeable number, because it can be changed into a prime (12001102100011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385376277 + ... + 385407416.

Almost surely, 2^{12001102100010} is an apocalyptic number.

12001102100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001102100010 is an abundant number, since it is smaller than the sum of its proper divisors (19382126784894).

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

12001102100010 is a wasteful number, since it uses less digits than its factorization.

12001102100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770783879 (or 770783876 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001102100010 its reverse (1000120110021), we get a palindrome (13001222210031).

The spelling of 12001102100010 in words is "twelve trillion, one billion, one hundred two million, one hundred thousand, ten".