1012101102012 has 192 divisors, whose sum is σ = 3248115913728. Its totient is φ = 236742912000.

The previous prime is 1012101101983. The next prime is 1012101102037. The reversal of 1012101102012 is 2102011012101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535039 + ... + 1520022.

It is an arithmetic number, because the mean of its divisors is an integer number (16917270384).

Almost surely, 2^{1012101102012} is an apocalyptic number.

1012101102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012101102012 is an abundant number, since it is smaller than the sum of its proper divisors (2236014811716).

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

1012101102012 is a wasteful number, since it uses less digits than its factorization.

1012101102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055140 (or 2055138 counting only the distinct ones).

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

Adding to 1012101102012 its reverse (2102011012101), we get a palindrome (3114112114113).

The spelling of 1012101102012 in words is "one trillion, twelve billion, one hundred one million, one hundred two thousand, twelve".