10102111101 has 10 divisors (see below), whose sum is σ = 15090808062. Its totient is φ = 6734740680.

The previous prime is 10102111087. The next prime is 10102111109. The reversal of 10102111101 is 10111120101.

It can be written as a sum of positive squares in only one way, i.e., 5886725625 + 4215385476 = 76725^2 + 64926^2 .

It is not a de Polignac number, because 10102111101 - 2¹³ = 10102102909 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102111109) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62358630 + ... + 62358791.

Almost surely, 2^10102111101 is an apocalyptic number.

It is an amenable number.

10102111101 is a deficient number, since it is larger than the sum of its proper divisors (4988696961).

10102111101 is an equidigital number, since it uses as much as digits as its factorization.

10102111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124717433 (or 124717424 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10102111101 its reverse (10111120101), we get a palindrome (20213231202).

The spelling of 10102111101 in words is "ten billion, one hundred two million, one hundred eleven thousand, one hundred one".