201201021012101 has 64 divisors (see below), whose sum is σ = 233507869396992. Its totient is φ = 171559227840000.

The previous prime is 201201021012097. The next prime is 201201021012127. The reversal of 201201021012101 is 101210120102102.

It is not a de Polignac number, because 201201021012101 - 2² = 201201021012097 is a prime.

It is a super-2 number, since 2×201201021012101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201021012181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7131991886 + ... + 7132020096.

It is an arithmetic number, because the mean of its divisors is an integer number (3648560459328).

Almost surely, 2^{201201021012101} is an apocalyptic number.

It is an amenable number.

201201021012101 is a deficient number, since it is larger than the sum of its proper divisors (32306848384891).

201201021012101 is a wasteful number, since it uses less digits than its factorization.

201201021012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29714.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201201021012101 its reverse (101210120102102), we get a palindrome (302411141114203).

Subtracting from 201201021012101 its reverse (101210120102102), we obtain a palindrome (99990900909999).

The spelling of 201201021012101 in words is "two hundred one trillion, two hundred one billion, twenty-one million, twelve thousand, one hundred one".