101012122121101 has 16 divisors (see below), whose sum is σ = 104219923926528. Its totient is φ = 97849128160000.

The previous prime is 101012122121093. The next prime is 101012122121107. The reversal of 101012122121101 is 101121221210101.

It is a cyclic number.

It is not a de Polignac number, because 101012122121101 - 2³ = 101012122121093 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 (101012122121107) 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, 9497856 + ... + 17094838.

It is an arithmetic number, because the mean of its divisors is an integer number (6513745245408).

Almost surely, 2^{101012122121101} is an apocalyptic number.

It is an amenable number.

101012122121101 is a deficient number, since it is larger than the sum of its proper divisors (3207801805427).

101012122121101 is a wasteful number, since it uses less digits than its factorization.

101012122121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599932.

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

Adding to 101012122121101 its reverse (101121221210101), we get a palindrome (202133343331202).

The spelling of 101012122121101 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred one".