10102102011 has 24 divisors (see below), whose sum is σ = 14786932160. Its totient is φ = 6644851200.

The previous prime is 10102102009. The next prime is 10102102019. The reversal of 10102102011 is 11020120101.

It is a happy number.

It is not a de Polignac number, because 10102102011 - 2¹ = 10102102009 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 junction number, because it is equal to n+sod(n) for n = 10102101984 and 10102102002.

It is not an unprimeable number, because it can be changed into a prime (10102102019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233771 + ... + 1241931.

Almost surely, 2^10102102011 is an apocalyptic number.

10102102011 is a deficient number, since it is larger than the sum of its proper divisors (4684830149).

10102102011 is a wasteful number, since it uses less digits than its factorization.

10102102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9984 counting only the distinct ones).

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

Adding to 10102102011 its reverse (11020120101), we get a palindrome (21122222112).

The spelling of 10102102011 in words is "ten billion, one hundred two million, one hundred two thousand, eleven".