101011100121 has 48 divisors (see below), whose sum is σ = 155193712128. Its totient is φ = 63222768000.

The previous prime is 101011100119. The next prime is 101011100137. The reversal of 101011100121 is 121001110101.

It is not a de Polignac number, because 101011100121 - 2¹ = 101011100119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101011100521) 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 47 ways as a sum of consecutive naturals, for example, 1065771 + ... + 1156671.

It is an arithmetic number, because the mean of its divisors is an integer number (3233202336).

Almost surely, 2^101011100121 is an apocalyptic number.

It is an amenable number.

101011100121 is a deficient number, since it is larger than the sum of its proper divisors (54182612007).

101011100121 is a wasteful number, since it uses less digits than its factorization.

101011100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91062 (or 91059 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011100121 its reverse (121001110101), we get a palindrome (222012210222).

The spelling of 101011100121 in words is "one hundred one billion, eleven million, one hundred thousand, one hundred twenty-one".