101201020112101 has 16 divisors (see below), whose sum is σ = 124555578336000. Its totient is φ = 80070830368128.

The previous prime is 101201020112089. The next prime is 101201020112107. The reversal of 101201020112101 is 101211020102101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101201020112101 - 2⁹ = 101201020111589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201020112107) 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, 23463600 + ... + 27439798.

It is an arithmetic number, because the mean of its divisors is an integer number (7784723646000).

Almost surely, 2^{101201020112101} is an apocalyptic number.

It is an amenable number.

101201020112101 is a deficient number, since it is larger than the sum of its proper divisors (23354558223899).

101201020112101 is a wasteful number, since it uses less digits than its factorization.

101201020112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255908.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101201020112101 its reverse (101211020102101), we get a palindrome (202412040214202).

The spelling of 101201020112101 in words is "one hundred one trillion, two hundred one billion, twenty million, one hundred twelve thousand, one hundred one".