101122010001 has 12 divisors (see below), whose sum is σ = 146071494660. Its totient is φ = 67411733760.

The previous prime is 101122009991. The next prime is 101122010029. The reversal of 101122010001 is 100010221101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18393869376 + 82728140625 = 135624^2 + 287625^2 .

It is not a de Polignac number, because 101122010001 - 2⁷ = 101122009873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101122010081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15816 + ... + 449993.

It is an arithmetic number, because the mean of its divisors is an integer number (12172624555).

Almost surely, 2^101122010001 is an apocalyptic number.

It is an amenable number.

101122010001 is a deficient number, since it is larger than the sum of its proper divisors (44949484659).

101122010001 is a wasteful number, since it uses less digits than its factorization.

101122010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489936 (or 489933 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101122010001 its reverse (100010221101), we get a palindrome (201132231102).

The spelling of 101122010001 in words is "one hundred one billion, one hundred twenty-two million, ten thousand, one".