102112100001006 has 32 divisors (see below), whose sum is σ = 204856749851040. Its totient is φ = 33931992551424.

The previous prime is 102112100000993. The next prime is 102112100001031. The reversal of 102112100001006 is 600100001211201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1678240 + ... + 14388908.

It is an arithmetic number, because the mean of its divisors is an integer number (6401773432845).

Almost surely, 2^{102112100001006} is an apocalyptic number.

102112100001006 is an abundant number, since it is smaller than the sum of its proper divisors (102744649850034).

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

102112100001006 is a wasteful number, since it uses less digits than its factorization.

102112100001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12714820.

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

Adding to 102112100001006 its reverse (600100001211201), we get a palindrome (702212101212207).

The spelling of 102112100001006 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, one thousand, six".