10120220201201 has 6 divisors (see below), whose sum is σ = 11123878403106. Its totient is φ = 9200200182800.

The previous prime is 10120220201167. The next prime is 10120220201207. The reversal of 10120220201201 is 10210202202101.

It can be written as a sum of positive squares in only one way, i.e., 10113665679601 + 6554521600 = 3180199^2 + 80960^2 .

It is not a de Polignac number, because 10120220201201 - 2¹⁸ = 10120219939057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120220201207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41819091620 + ... + 41819091861.

It is an arithmetic number, because the mean of its divisors is an integer number (1853979733851).

Almost surely, 2^{10120220201201} is an apocalyptic number.

10120220201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120220201201 is a deficient number, since it is larger than the sum of its proper divisors (1003658201905).

10120220201201 is an equidigital number, since it uses as much as digits as its factorization.

10120220201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83638183503 (or 83638183492 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10120220201201 its reverse (10210202202101), we get a palindrome (20330422403302).

Subtracting 10120220201201 from its reverse (10210202202101), we obtain a square (89982000900 = 299970²).

The spelling of 10120220201201 in words is "ten trillion, one hundred twenty billion, two hundred twenty million, two hundred one thousand, two hundred one".