10102102120011 has 16 divisors (see below), whose sum is σ = 14695583476608. Its totient is φ = 6121812484800.

The previous prime is 10102102119887. The next prime is 10102102120027. The reversal of 10102102120011 is 11002120120101.

It is not a de Polignac number, because 10102102120011 - 2¹¹ = 10102102117963 is a prime.

It is a super-3 number, since 3×10102102120011³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10102102120031) 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, 16536666 + ... + 17136671.

It is an arithmetic number, because the mean of its divisors is an integer number (918473967288).

Almost surely, 2^{10102102120011} is an apocalyptic number.

10102102120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102102120011 is a deficient number, since it is larger than the sum of its proper divisors (4593481356597).

10102102120011 is a wasteful number, since it uses less digits than its factorization.

10102102120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33682442.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102102120011 its reverse (11002120120101), we get a palindrome (21104222240112).

The spelling of 10102102120011 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred twenty thousand, eleven".