102012121011201 has 16 divisors (see below), whose sum is σ = 136223119791360. Its totient is φ = 67904635824000.

The previous prime is 102012121011179. The next prime is 102012121011221. The reversal of 102012121011201 is 102110121210201.

It is a happy number.

It is not a de Polignac number, because 102012121011201 - 2⁹ = 102012121010689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102012121011221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7586655 + ... + 16173483.

It is an arithmetic number, because the mean of its divisors is an integer number (8513944986960).

Almost surely, 2^{102012121011201} is an apocalyptic number.

It is an amenable number.

102012121011201 is a deficient number, since it is larger than the sum of its proper divisors (34210998780159).

102012121011201 is an equidigital number, since it uses as much as digits as its factorization.

102012121011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8592856.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102012121011201 its reverse (102110121210201), we get a palindrome (204122242221402).

The spelling of 102012121011201 in words is "one hundred two trillion, twelve billion, one hundred twenty-one million, eleven thousand, two hundred one".