20101222121201 has 12 divisors (see below), whose sum is σ = 21990808138572. Its totient is φ = 18363685856256.

The previous prime is 20101222121179. The next prime is 20101222121231. The reversal of 20101222121201 is 10212122210102.

It can be written as a sum of positive squares in 6 ways, for example, as 4627037613025 + 15474184508176 = 2151055^2 + 3933724^2 .

It is not a de Polignac number, because 20101222121201 - 2⁶ = 20101222121137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20101222121201.

It is not an unprimeable number, because it can be changed into a prime (20101222121231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613087436 + ... + 613120221.

It is an arithmetic number, because the mean of its divisors is an integer number (1832567344881).

Almost surely, 2^{20101222121201} is an apocalyptic number.

It is an amenable number.

20101222121201 is a deficient number, since it is larger than the sum of its proper divisors (1889586017371).

20101222121201 is a wasteful number, since it uses less digits than its factorization.

20101222121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226207780 (or 1226207767 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20101222121201 its reverse (10212122210102), we get a palindrome (30313344331303).

The spelling of 20101222121201 in words is "twenty trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred one".