10102121101020 has 96 divisors (see below), whose sum is σ = 30462388766208. Its totient is φ = 2486626313472.

The previous prime is 10102121101001. The next prime is 10102121101069. The reversal of 10102121101020 is 2010112120101.

10102121101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10102121100987 and 10102121101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52887727 + ... + 53078393.

It is an arithmetic number, because the mean of its divisors is an integer number (317316549648).

Almost surely, 2^{10102121101020} is an apocalyptic number.

10102121101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102121101020 is an abundant number, since it is smaller than the sum of its proper divisors (20360267665188).

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

10102121101020 is a wasteful number, since it uses less digits than its factorization.

10102121101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258619 (or 258617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102121101020 its reverse (2010112120101), we get a palindrome (12112233221121).

The spelling of 10102121101020 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, one hundred one thousand, twenty".