101211020121 has 16 divisors (see below), whose sum is σ = 138494347200. Its totient is φ = 65721837888.

The previous prime is 101211020083. The next prime is 101211020173. The reversal of 101211020121 is 121020112101.

It is not a de Polignac number, because 101211020121 - 2¹⁹ = 101210495833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211020097 and 101211020106.

It is not an unprimeable number, because it can be changed into a prime (101211040121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603706 + ... + 2642291.

It is an arithmetic number, because the mean of its divisors is an integer number (8655896700).

Almost surely, 2^101211020121 is an apocalyptic number.

It is an amenable number.

101211020121 is a deficient number, since it is larger than the sum of its proper divisors (37283327079).

101211020121 is a wasteful number, since it uses less digits than its factorization.

101211020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246168.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101211020121 its reverse (121020112101), we get a palindrome (222231132222).

The spelling of 101211020121 in words is "one hundred one billion, two hundred eleven million, twenty thousand, one hundred twenty-one".