101102102121 has 16 divisors (see below), whose sum is σ = 136356165504. Its totient is φ = 66627072384.

The previous prime is 101102102093. The next prime is 101102102173. The reversal of 101102102121 is 121201201101.

It is not a de Polignac number, because 101102102121 - 2⁷ = 101102101993 is a prime.

It is a super-2 number, since 2×101102102121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102102097 and 101102102106.

It is not an unprimeable number, because it can be changed into a prime (101102103121) 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, 121596 + ... + 465821.

It is an arithmetic number, because the mean of its divisors is an integer number (8522260344).

Almost surely, 2^101102102121 is an apocalyptic number.

It is an amenable number.

101102102121 is a deficient number, since it is larger than the sum of its proper divisors (35254063383).

101102102121 is a wasteful number, since it uses less digits than its factorization.

101102102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588080.

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

Adding to 101102102121 its reverse (121201201101), we get a palindrome (222303303222).

The spelling of 101102102121 in words is "one hundred one billion, one hundred two million, one hundred two thousand, one hundred twenty-one".