101201122220121 has 96 divisors (see below), whose sum is σ = 183568612331520. Its totient is φ = 52192910131200.

The previous prime is 101201122220113. The next prime is 101201122220147. The reversal of 101201122220121 is 121022221102101.

101201122220121 is a `hidden beast` number, since 1 + 0 + 1 + 201 + 122 + 220 + 121 = 666.

It is not a de Polignac number, because 101201122220121 - 2³ = 101201122220113 is a prime.

It is a super-2 number, since 2×101201122220121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101201122220094 and 101201122220103.

It is not an unprimeable number, because it can be changed into a prime (101201122220921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52196185 + ... + 54100313.

It is an arithmetic number, because the mean of its divisors is an integer number (1912173045120).

Almost surely, 2^{101201122220121} is an apocalyptic number.

101201122220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201122220121 is a deficient number, since it is larger than the sum of its proper divisors (82367490111399).

101201122220121 is a wasteful number, since it uses less digits than its factorization.

101201122220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904707 (or 1904704 counting only the distinct ones).

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

Adding to 101201122220121 its reverse (121022221102101), we get a palindrome (222223343322222).

The spelling of 101201122220121 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty-one".