102012110201001 has 256 divisors, whose sum is σ = 188132529070080. Its totient is φ = 47469209518080.

The previous prime is 102012110200993. The next prime is 102012110201119. The reversal of 102012110201001 is 100102011210201.

It is not a de Polignac number, because 102012110201001 - 2³ = 102012110200993 is a prime.

It is a super-2 number, since 2×102012110201001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102012110001001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3393714310 + ... + 3393744368.

It is an arithmetic number, because the mean of its divisors is an integer number (734892691680).

Almost surely, 2^{102012110201001} is an apocalyptic number.

102012110201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102012110201001 is a deficient number, since it is larger than the sum of its proper divisors (86120418869079).

102012110201001 is a wasteful number, since it uses less digits than its factorization.

102012110201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30416.

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

Adding to 102012110201001 its reverse (100102011210201), we get a palindrome (202114121411202).

The spelling of 102012110201001 in words is "one hundred two trillion, twelve billion, one hundred ten million, two hundred one thousand, one".