101120422401 has 24 divisors (see below), whose sum is σ = 148585890024. Its totient is φ = 66258873600.

The previous prime is 101120422399. The next prime is 101120422421. The reversal of 101120422401 is 104224021101.

101120422401 is a `hidden beast` number, since 101 + 120 + 42 + 2 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80869709376 + 20250713025 = 284376^2 + 142305^2 .

It is not a de Polignac number, because 101120422401 - 2¹ = 101120422399 is a prime.

It is a super-3 number, since 3×101120422401³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101120422421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281466 + ... + 530531.

It is an arithmetic number, because the mean of its divisors is an integer number (6191078751).

Almost surely, 2^101120422401 is an apocalyptic number.

It is an amenable number.

101120422401 is a deficient number, since it is larger than the sum of its proper divisors (47465467623).

101120422401 is a wasteful number, since it uses less digits than its factorization.

101120422401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812241 (or 812238 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101120422401 its reverse (104224021101), we get a palindrome (205344443502).

The spelling of 101120422401 in words is "one hundred one billion, one hundred twenty million, four hundred twenty-two thousand, four hundred one".