10102123020 has 288 divisors, whose sum is σ = 32818867200. Its totient is φ = 2315456000.

The previous prime is 10102123007. The next prime is 10102123021. The reversal of 10102123020 is 2032120101.

It is a super-2 number, since 2×10102123020² (a number of 21 digits) contains 22 as substring.

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 = 10102122987 and 10102123005.

It is not an unprimeable number, because it can be changed into a prime (10102123021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16864681 + ... + 16865279.

It is an arithmetic number, because the mean of its divisors is an integer number (113954400).

Almost surely, 2^10102123020 is an apocalyptic number.

10102123020 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 10102123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409433600).

10102123020 is an abundant number, since it is smaller than the sum of its proper divisors (22716744180).

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

10102123020 is a wasteful number, since it uses less digits than its factorization.

10102123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10102123020 its reverse (2032120101), we get a palindrome (12134243121).

The spelling of 10102123020 in words is "ten billion, one hundred two million, one hundred twenty-three thousand, twenty".