102001102011 has 16 divisors (see below), whose sum is σ = 154327910400. Its totient is φ = 66553909704.

The previous prime is 102001101997. The next prime is 102001102031. The reversal of 102001102011 is 110201100201.

It is a happy number.

It is not a de Polignac number, because 102001102011 - 2⁷ = 102001101883 is a prime.

It is a super-2 number, since 2×102001102011² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102001101984 and 102001102002.

It is not an unprimeable number, because it can be changed into a prime (102001102031) 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, 40188291 + ... + 40190828.

It is an arithmetic number, because the mean of its divisors is an integer number (9645494400).

Almost surely, 2^102001102011 is an apocalyptic number.

102001102011 is a deficient number, since it is larger than the sum of its proper divisors (52326808389).

102001102011 is an equidigital number, since it uses as much as digits as its factorization.

102001102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80379175 (or 80379169 counting only the distinct ones).

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

Adding to 102001102011 its reverse (110201100201), we get a palindrome (212202202212).

The spelling of 102001102011 in words is "one hundred two billion, one million, one hundred two thousand, eleven".