10001211201101 has 16 divisors (see below), whose sum is σ = 10250498678784. Its totient is φ = 9753479495424.

The previous prime is 10001211201089. The next prime is 10001211201109. The reversal of 10001211201101 is 10110211210001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001211201101 is a prime.

It is a super-2 number, since 2×10001211201101² (a number of 27 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 (10001211201109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26150411 + ... + 26530103.

It is an arithmetic number, because the mean of its divisors is an integer number (640656167424).

Almost surely, 2^{10001211201101} is an apocalyptic number.

It is an amenable number.

10001211201101 is a deficient number, since it is larger than the sum of its proper divisors (249287477683).

10001211201101 is a wasteful number, since it uses less digits than its factorization.

10001211201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381740.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001211201101 its reverse (10110211210001), we get a palindrome (20111422411102).

The spelling of 10001211201101 in words is "ten trillion, one billion, two hundred eleven million, two hundred one thousand, one hundred one".