101022001220101 has 6 divisors (see below), whose sum is σ = 109390687711890. Its totient is φ = 93251078049168.

The previous prime is 101022001219981. The next prime is 101022001220123. The reversal of 101022001220101 is 101022100220101.

It can be written as a sum of positive squares in 3 ways, for example, as 2258137344100 + 98763863876001 = 1502710^2 + 9938001^2 .

It is not a de Polignac number, because 101022001220101 - 2⁷ = 101022001219973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022001220801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 298881660246 + ... + 298881660583.

It is an arithmetic number, because the mean of its divisors is an integer number (18231781285315).

Almost surely, 2^{101022001220101} is an apocalyptic number.

It is an amenable number.

101022001220101 is a deficient number, since it is larger than the sum of its proper divisors (8368686491789).

101022001220101 is an equidigital number, since it uses as much as digits as its factorization.

101022001220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597763320855 (or 597763320842 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101022001220101 its reverse (101022100220101), we get a palindrome (202044101440202).

The spelling of 101022001220101 in words is "one hundred one trillion, twenty-two billion, one million, two hundred twenty thousand, one hundred one".