102120100011006 has 72 divisors (see below), whose sum is σ = 261147741087240. Its totient is φ = 26524701292320.

The previous prime is 102120100010983. The next prime is 102120100011047. The reversal of 102120100011006 is 600110001021201.

It is a happy number.

It is a super-2 number, since 2×102120100011006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1435283761 + ... + 1435354908.

It is an arithmetic number, because the mean of its divisors is an integer number (3627051959545).

Almost surely, 2^{102120100011006} is an apocalyptic number.

102120100011006 is an abundant number, since it is smaller than the sum of its proper divisors (159027641076234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102120100011006 is a wasteful number, since it uses less digits than its factorization.

102120100011006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870638710 (or 2870638692 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102120100011006 its reverse (600110001021201), we get a palindrome (702230101032207).

The spelling of 102120100011006 in words is "one hundred two trillion, one hundred twenty billion, one hundred million, eleven thousand, six".