101020112120101 has 16 divisors (see below), whose sum is σ = 103650561358848. Its totient is φ = 98397715766400.

The previous prime is 101020112120077. The next prime is 101020112120167. The reversal of 101020112120101 is 101021211020101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101020112120101 - 2⁵ = 101020112120069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020112120801) 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, 65476111 + ... + 67001203.

It is an arithmetic number, because the mean of its divisors is an integer number (6478160084928).

Almost surely, 2^{101020112120101} is an apocalyptic number.

It is an amenable number.

101020112120101 is a deficient number, since it is larger than the sum of its proper divisors (2630449238747).

101020112120101 is a wasteful number, since it uses less digits than its factorization.

101020112120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527732.

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

Adding to 101020112120101 its reverse (101021211020101), we get a palindrome (202041323140202).

The spelling of 101020112120101 in words is "one hundred one trillion, twenty billion, one hundred twelve million, one hundred twenty thousand, one hundred one".