101220211121020 has 48 divisors (see below), whose sum is σ = 214512240096000. Its totient is φ = 40118023365120.

The previous prime is 101220211120937. The next prime is 101220211121047. The reversal of 101220211121020 is 20121112022101.

It is a super-2 number, since 2×101220211121020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101220211120985 and 101220211121003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40305036 + ... + 42742675.

It is an arithmetic number, because the mean of its divisors is an integer number (4469005002000).

Almost surely, 2^{101220211121020} is an apocalyptic number.

101220211121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220211121020 is an abundant number, since it is smaller than the sum of its proper divisors (113292028974980).

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

101220211121020 is a wasteful number, since it uses less digits than its factorization.

101220211121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83048278 (or 83048276 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101220211121020 its reverse (20121112022101), we get a palindrome (121341323143121).

The spelling of 101220211121020 in words is "one hundred one trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, twenty".