102121101 has 16 divisors (see below), whose sum is σ = 152763520. Its totient is φ = 67417920.

The previous prime is 102121069. The next prime is 102121109. The reversal of 102121101 is 101121201.

It is a happy number.

It is not a de Polignac number, because 102121101 - 2⁵ = 102121069 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121109) 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, 15580 + ... + 21141.

It is an arithmetic number, because the mean of its divisors is an integer number (9547720).

Almost surely, 2^102121101 is an apocalyptic number.

It is an amenable number.

102121101 is a deficient number, since it is larger than the sum of its proper divisors (50642419).

102121101 is a wasteful number, since it uses less digits than its factorization.

102121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36833 (or 36827 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 102121101 is about 10105.4985527682. The cubic root of 102121101 is about 467.4177094046.

Adding to 102121101 its reverse (101121201), we get a palindrome (203242302).

It can be divided in two parts, 1021 and 21101, that added together give a palindrome (22122).

The spelling of 102121101 in words is "one hundred two million, one hundred twenty-one thousand, one hundred one".