20101221122011 has 32 divisors (see below), whose sum is σ = 21671322266880. Its totient is φ = 18577990158336.

The previous prime is 20101221121981. The next prime is 20101221122027. The reversal of 20101221122011 is 11022112210102.

It is a cyclic number.

It is not a de Polignac number, because 20101221122011 - 2⁵ = 20101221121979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20101261122011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101521470 + ... + 101719276.

It is an arithmetic number, because the mean of its divisors is an integer number (677228820840).

Almost surely, 2^{20101221122011} is an apocalyptic number.

20101221122011 is a deficient number, since it is larger than the sum of its proper divisors (1570101144869).

20101221122011 is a wasteful number, since it uses less digits than its factorization.

20101221122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198423.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20101221122011 its reverse (11022112210102), we get a palindrome (31123333332113).

The spelling of 20101221122011 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, eleven".