102001012001 has 32 divisors (see below), whose sum is σ = 121780689408. Its totient is φ = 83621928960.

The previous prime is 102001011979. The next prime is 102001012013. The reversal of 102001012001 is 100210100201.

It is a cyclic number.

It is not a de Polignac number, because 102001012001 - 2¹⁴ = 102000995617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102001012001.

It is not an unprimeable number, because it can be changed into a prime (102001012081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3484241 + ... + 3513393.

It is an arithmetic number, because the mean of its divisors is an integer number (3805646544).

Almost surely, 2^102001012001 is an apocalyptic number.

It is an amenable number.

102001012001 is a deficient number, since it is larger than the sum of its proper divisors (19779677407).

102001012001 is a wasteful number, since it uses less digits than its factorization.

102001012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29441.

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

Adding to 102001012001 its reverse (100210100201), we get a palindrome (202211112202).

It can be divided in two parts, 10200 and 1012001, that added together give a palindrome (1022201).

The spelling of 102001012001 in words is "one hundred two billion, one million, twelve thousand, one".