101222022011121 has 24 divisors (see below), whose sum is σ = 160089933993600. Its totient is φ = 61120308477600.

The previous prime is 101222022011107. The next prime is 101222022011153. The reversal of 101222022011121 is 121110220222101.

101222022011121 is a `hidden beast` number, since 101 + 2 + 220 + 220 + 1 + 1 + 121 = 666.

It is not a de Polignac number, because 101222022011121 - 2⁶ = 101222022011057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101222022011094 and 101222022011103.

It is not an unprimeable number, because it can be changed into a prime (101222022011171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1886402446 + ... + 1886456103.

It is an arithmetic number, because the mean of its divisors is an integer number (6670413916400).

Almost surely, 2^{101222022011121} is an apocalyptic number.

101222022011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222022011121 is a deficient number, since it is larger than the sum of its proper divisors (58867911982479).

101222022011121 is a wasteful number, since it uses less digits than its factorization.

101222022011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772858837 (or 3772858834 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101222022011121 its reverse (121110220222101), we get a palindrome (222332242233222).

The spelling of 101222022011121 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, eleven thousand, one hundred twenty-one".