10102121106 has 64 divisors (see below), whose sum is σ = 26671472640. Its totient is φ = 2469576960.

The previous prime is 10102121053. The next prime is 10102121167. The reversal of 10102121106 is 60112120101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635266 + ... + 650973.

It is an arithmetic number, because the mean of its divisors is an integer number (416741760).

Almost surely, 2^10102121106 is an apocalyptic number.

10102121106 is an abundant number, since it is smaller than the sum of its proper divisors (16569351534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102121106 is a wasteful number, since it uses less digits than its factorization.

10102121106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286279.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10102121106 its reverse (60112120101), we get a palindrome (70214241207).

The spelling of 10102121106 in words is "ten billion, one hundred two million, one hundred twenty-one thousand, one hundred six".