101020121122101 has 32 divisors (see below), whose sum is σ = 135733410004608. Its totient is φ = 66828873216000.

The previous prime is 101020121122079. The next prime is 101020121122111. The reversal of 101020121122101 is 101221121020101.

It is a happy number.

It is not a de Polignac number, because 101020121122101 - 2⁷ = 101020121121973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020121122111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886496610 + ... + 886610556.

It is an arithmetic number, because the mean of its divisors is an integer number (4241669062644).

Almost surely, 2^{101020121122101} is an apocalyptic number.

It is an amenable number.

101020121122101 is a deficient number, since it is larger than the sum of its proper divisors (34713288882507).

101020121122101 is a wasteful number, since it uses less digits than its factorization.

101020121122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118501.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101020121122101 its reverse (101221121020101), we get a palindrome (202241242142202).

The spelling of 101020121122101 in words is "one hundred one trillion, twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred one".