101102100121 has 16 divisors (see below), whose sum is σ = 113004460800. Its totient is φ = 89652457600.

The previous prime is 101102100083. The next prime is 101102100131. The reversal of 101102100121 is 121001201101.

It is a cyclic number.

It is not a de Polignac number, because 101102100121 - 2²³ = 101093711513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102100098 and 101102100107.

It is not an unprimeable number, because it can be changed into a prime (101102100131) 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, 2809440 + ... + 2845198.

It is an arithmetic number, because the mean of its divisors is an integer number (7062778800).

Almost surely, 2^101102100121 is an apocalyptic number.

101102100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102100121 is a deficient number, since it is larger than the sum of its proper divisors (11902360679).

101102100121 is a wasteful number, since it uses less digits than its factorization.

101102100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42080.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101102100121 its reverse (121001201101), we get a palindrome (222103301222).

The spelling of 101102100121 in words is "one hundred one billion, one hundred two million, one hundred thousand, one hundred twenty-one".