20100222011121 has 16 divisors (see below), whose sum is σ = 30816817158144. Its totient is φ = 11415375864144.

The previous prime is 20100222011069. The next prime is 20100222011131. The reversal of 20100222011121 is 12111022200102.

It is not a de Polignac number, because 20100222011121 - 2⁷ = 20100222010993 is a prime.

It is a super-3 number, since 3×20100222011121³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20100222011121.

It is not an unprimeable number, because it can be changed into a prime (20100222011131) 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, 2936050041 + ... + 2936056886.

It is an arithmetic number, because the mean of its divisors is an integer number (1926051072384).

Almost surely, 2^{20100222011121} is an apocalyptic number.

20100222011121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20100222011121 is a deficient number, since it is larger than the sum of its proper divisors (10716595147023).

20100222011121 is a wasteful number, since it uses less digits than its factorization.

20100222011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872107100.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20100222011121 its reverse (12111022200102), we get a palindrome (32211244211223).

The spelling of 20100222011121 in words is "twenty trillion, one hundred billion, two hundred twenty-two million, eleven thousand, one hundred twenty-one".