200101202120001 has 192 divisors, whose sum is σ = 350225447362560. Its totient is φ = 100537023121920.

The previous prime is 200101202119993. The next prime is 200101202120009. The reversal of 200101202120001 is 100021202101002.

200101202120001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200101202119993) and next prime (200101202120009).

It is not a de Polignac number, because 200101202120001 - 2³ = 200101202119993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200101202120009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44536210111 + ... + 44536214603.

It is an arithmetic number, because the mean of its divisors is an integer number (1824090871680).

Almost surely, 2^{200101202120001} is an apocalyptic number.

200101202120001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200101202120001 is a deficient number, since it is larger than the sum of its proper divisors (150124245242559).

200101202120001 is a wasteful number, since it uses less digits than its factorization.

200101202120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 8549 counting only the distinct ones).

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

Adding to 200101202120001 its reverse (100021202101002), we get a palindrome (300122404221003).

The spelling of 200101202120001 in words is "two hundred trillion, one hundred one billion, two hundred two million, one hundred twenty thousand, one".