1020001212105 has 32 divisors (see below), whose sum is σ = 1655210557440. Its totient is φ = 536266503360.

The previous prime is 1020001212071. The next prime is 1020001212121. The reversal of 1020001212105 is 5012121000201.

It is not a de Polignac number, because 1020001212105 - 2¹⁶ = 1020001146569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8373264 + ... + 8494206.

It is an arithmetic number, because the mean of its divisors is an integer number (51725329920).

Almost surely, 2^{1020001212105} is an apocalyptic number.

1020001212105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020001212105 is a deficient number, since it is larger than the sum of its proper divisors (635209345335).

1020001212105 is a wasteful number, since it uses less digits than its factorization.

1020001212105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128941.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 1020001212105 its reverse (5012121000201), we get a palindrome (6032122212306).

The spelling of 1020001212105 in words is "one trillion, twenty billion, one million, two hundred twelve thousand, one hundred five".