101020120012141 has 16 divisors (see below), whose sum is σ = 111385305351936. Its totient is φ = 90853335000000.

The previous prime is 101020120012093. The next prime is 101020120012181. The reversal of 101020120012141 is 141210021020101.

It is a cyclic number.

It is not a de Polignac number, because 101020120012141 - 2³⁷ = 100882681058669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020120012181) 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, 35564610 + ... + 38299891.

It is an arithmetic number, because the mean of its divisors is an integer number (6961581584496).

Almost surely, 2^{101020120012141} is an apocalyptic number.

101020120012141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101020120012141 is a deficient number, since it is larger than the sum of its proper divisors (10365185339795).

101020120012141 is a wasteful number, since it uses less digits than its factorization.

101020120012141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73865844.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101020120012141 its reverse (141210021020101), we get a palindrome (242230141032242).

The spelling of 101020120012141 in words is "one hundred one trillion, twenty billion, one hundred twenty million, twelve thousand, one hundred forty-one".