10102101111121 has 4 divisors (see below), whose sum is σ = 10427975340544. Its totient is φ = 9776226881700.

The previous prime is 10102101111103. The next prime is 10102101111131. The reversal of 10102101111121 is 12111110120101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10102101111121 - 2⁹ = 10102101110609 is a prime.

It is a super-3 number, since 3×10102101111121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102101111131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162937114665 + ... + 162937114726.

It is an arithmetic number, because the mean of its divisors is an integer number (2606993835136).

Almost surely, 2^{10102101111121} is an apocalyptic number.

It is an amenable number.

10102101111121 is a deficient number, since it is larger than the sum of its proper divisors (325874229423).

10102101111121 is an equidigital number, since it uses as much as digits as its factorization.

10102101111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325874229422.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10102101111121 its reverse (12111110120101), we get a palindrome (22213211231222).

The spelling of 10102101111121 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred eleven thousand, one hundred twenty-one".