10012201102121 has 8 divisors (see below), whose sum is σ = 10449918133704. Its totient is φ = 9583699166080.

The previous prime is 10012201102049. The next prime is 10012201102139. The reversal of 10012201102121 is 12120110221001.

It can be written as a sum of positive squares in 4 ways, for example, as 54774721600 + 9957426380521 = 234040^2 + 3155539^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10012201102121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012201102096 and 10012201102105.

It is not an unprimeable number, because it can be changed into a prime (10012201102151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2303771666 + ... + 2303776011.

It is an arithmetic number, because the mean of its divisors is an integer number (1306239766713).

Almost surely, 2^{10012201102121} is an apocalyptic number.

It is an amenable number.

10012201102121 is a deficient number, since it is larger than the sum of its proper divisors (437717031583).

10012201102121 is an equidigital number, since it uses as much as digits as its factorization.

10012201102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4607547771.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012201102121 its reverse (12120110221001), we get a palindrome (22132311323122).

The spelling of 10012201102121 in words is "ten trillion, twelve billion, two hundred one million, one hundred two thousand, one hundred twenty-one".