10122112102020 has 96 divisors (see below), whose sum is σ = 28669877322240. Its totient is φ = 2668112939520.

The previous prime is 10122112101991. The next prime is 10122112102027. The reversal of 10122112102020 is 2020121122101.

10122112102020 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 (15).

It is not an unprimeable number, because it can be changed into a prime (10122112102027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915189 + ... + 4591491.

It is an arithmetic number, because the mean of its divisors is an integer number (298644555440).

Almost surely, 2^{10122112102020} is an apocalyptic number.

10122112102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122112102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14334938661120).

10122112102020 is an abundant number, since it is smaller than the sum of its proper divisors (18547765220220).

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

10122112102020 is a wasteful number, since it uses less digits than its factorization.

10122112102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676845 (or 3676843 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122112102020 its reverse (2020121122101), we get a palindrome (12142233224121).

The spelling of 10122112102020 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, twenty".