10102021121120 has 96 divisors (see below), whose sum is σ = 23924028300480. Its totient is φ = 4030992394240.

The previous prime is 10102021121111. The next prime is 10102021121123. The reversal of 10102021121120 is 2112112020101.

It is a junction number, because it is equal to n+sod(n) for n = 10102021121095 and 10102021121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102021121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322536821 + ... + 322568139.

It is an arithmetic number, because the mean of its divisors is an integer number (249208628130).

Almost surely, 2^{10102021121120} is an apocalyptic number.

10102021121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102021121120 is an abundant number, since it is smaller than the sum of its proper divisors (13822007179360).

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

10102021121120 is a wasteful number, since it uses less digits than its factorization.

10102021121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36168 (or 36160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102021121120 its reverse (2112112020101), we get a palindrome (12214133141221).

The spelling of 10102021121120 in words is "ten trillion, one hundred two billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty".