102010101333012 has 18 divisors (see below), whose sum is σ = 257858867258538. Its totient is φ = 34003367110992.

The previous prime is 102010101332933. The next prime is 102010101333017. The reversal of 102010101333012 is 210333101010201.

It can be written as a sum of positive squares in only one way, i.e., 99056914074756 + 2953187258256 = 9952734^2 + 1718484^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010101333017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1416806962923 + ... + 1416806962994.

Almost surely, 2^{102010101333012} is an apocalyptic number.

102010101333012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102010101333012 is an abundant number, since it is smaller than the sum of its proper divisors (155848765925526).

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

102010101333012 is a wasteful number, since it uses less digits than its factorization.

102010101333012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833613925927 (or 2833613925922 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102010101333012 its reverse (210333101010201), we get a palindrome (312343202343213).

The spelling of 102010101333012 in words is "one hundred two trillion, ten billion, one hundred one million, three hundred thirty-three thousand, twelve".