10100121201201 has 8 divisors (see below), whose sum is σ = 14175608703520. Its totient is φ = 6379023916512.

The previous prime is 10100121201167. The next prime is 10100121201259. The reversal of 10100121201201 is 10210212100101.

10100121201201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10100121201201 - 2¹⁵ = 10100121168433 is a prime.

It is a super-2 number, since 2×10100121201201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100121201601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88597554340 + ... + 88597554453.

It is an arithmetic number, because the mean of its divisors is an integer number (1771951087940).

Almost surely, 2^{10100121201201} is an apocalyptic number.

It is an amenable number.

10100121201201 is a deficient number, since it is larger than the sum of its proper divisors (4075487502319).

10100121201201 is a wasteful number, since it uses less digits than its factorization.

10100121201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177195108815.

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

Adding to 10100121201201 its reverse (10210212100101), we get a palindrome (20310333301302).

The spelling of 10100121201201 in words is "ten trillion, one hundred billion, one hundred twenty-one million, two hundred one thousand, two hundred one".