101202002012001 has 16 divisors (see below), whose sum is σ = 147203263957248. Its totient is φ = 61334400032400.

The previous prime is 101202002011997. The next prime is 101202002012009. The reversal of 101202002012001 is 100210200202101.

It is not a de Polignac number, because 101202002012001 - 2² = 101202002011997 is a prime.

It is a super-2 number, since 2×101202002012001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101202002012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11251746 + ... + 18138516.

It is an arithmetic number, because the mean of its divisors is an integer number (9200203997328).

Almost surely, 2^{101202002012001} is an apocalyptic number.

101202002012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202002012001 is a deficient number, since it is larger than the sum of its proper divisors (46001261945247).

101202002012001 is a wasteful number, since it uses less digits than its factorization.

101202002012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332092.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101202002012001 its reverse (100210200202101), we get a palindrome (201412202214102).

The spelling of 101202002012001 in words is "one hundred one trillion, two hundred two billion, two million, twelve thousand, one".