101121201110020 has 48 divisors (see below), whose sum is σ = 261359412104448. Its totient is φ = 32003193317760.

The previous prime is 101121201109963. The next prime is 101121201110029. The reversal of 101121201110020 is 20011102121101.

It is a happy number.

It is a super-2 number, since 2×101121201110020² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101121201110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27780547936 + ... + 27780551575.

It is an arithmetic number, because the mean of its divisors is an integer number (5444987752176).

Almost surely, 2^{101121201110020} is an apocalyptic number.

101121201110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121201110020 is an abundant number, since it is smaller than the sum of its proper divisors (160238210994428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101121201110020 is a wasteful number, since it uses less digits than its factorization.

101121201110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55561099540 (or 55561099538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101121201110020 its reverse (20011102121101), we get a palindrome (121132303231121).

The spelling of 101121201110020 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, one hundred ten thousand, twenty".