1002012100001 has 16 divisors (see below), whose sum is σ = 1116412416000. Its totient is φ = 891498265680.

The previous prime is 1002012099983. The next prime is 1002012100003. The reversal of 1002012100001 is 1000012102001.

It is not a de Polignac number, because 1002012100001 - 2¹⁴ = 1002012083617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002012100003) 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, 21690410 + ... + 21736556.

It is an arithmetic number, because the mean of its divisors is an integer number (69775776000).

Almost surely, 2^{1002012100001} is an apocalyptic number.

1002012100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002012100001 is a deficient number, since it is larger than the sum of its proper divisors (114400315999).

1002012100001 is a wasteful number, since it uses less digits than its factorization.

1002012100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88204.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002012100001 its reverse (1000012102001), we get a palindrome (2002024202002).

The spelling of 1002012100001 in words is "one trillion, two billion, twelve million, one hundred thousand, one".