101012220112121 has 8 divisors (see below), whose sum is σ = 106955071551720. Its totient is φ = 95069474910208.

The previous prime is 101012220112103. The next prime is 101012220112123. The reversal of 101012220112121 is 121211022210101.

It can be written as a sum of positive squares in 4 ways, for example, as 8415864822121 + 92596355290000 = 2901011^2 + 9622700^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101012220112121 - 2²² = 101012215917817 is a prime.

It is a super-2 number, since 2×101012220112121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 101012220112121.

It is not an unprimeable number, because it can be changed into a prime (101012220112123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24597716 + ... + 28409013.

It is an arithmetic number, because the mean of its divisors is an integer number (13369383943965).

Almost surely, 2^{101012220112121} is an apocalyptic number.

It is an amenable number.

101012220112121 is a deficient number, since it is larger than the sum of its proper divisors (5942851439599).

101012220112121 is a wasteful number, since it uses less digits than its factorization.

101012220112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53118843.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101012220112121 its reverse (121211022210101), we get a palindrome (222223242322222).

The spelling of 101012220112121 in words is "one hundred one trillion, twelve billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty-one".