102012102010101 has 16 divisors (see below), whose sum is σ = 136277808779840. Its totient is φ = 67877234686080.

The previous prime is 102012102010057. The next prime is 102012102010123. The reversal of 102012102010101 is 101010201210201.

It is not a de Polignac number, because 102012102010101 - 2¹¹ = 102012102008053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012102010151) 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, 152438091 + ... + 153105831.

It is an arithmetic number, because the mean of its divisors is an integer number (8517363048740).

Almost surely, 2^{102012102010101} is an apocalyptic number.

It is an amenable number.

102012102010101 is a deficient number, since it is larger than the sum of its proper divisors (34265706769739).

102012102010101 is an equidigital number, since it uses as much as digits as its factorization.

102012102010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765636.

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

Adding to 102012102010101 its reverse (101010201210201), we get a palindrome (203022303220302).

The spelling of 102012102010101 in words is "one hundred two trillion, twelve billion, one hundred two million, ten thousand, one hundred one".