102100012020 has 288 divisors, whose sum is σ = 332532345600. Its totient is φ = 25267507200.

The previous prime is 102100012019. The next prime is 102100012031. The reversal of 102100012020 is 20210001201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102100011993 and 102100012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68846199 + ... + 68847681.

It is an arithmetic number, because the mean of its divisors is an integer number (1154626200).

Almost surely, 2^102100012020 is an apocalyptic number.

102100012020 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 102100012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166266172800).

102100012020 is an abundant number, since it is smaller than the sum of its proper divisors (230432333580).

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

102100012020 is a wasteful number, since it uses less digits than its factorization.

102100012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102100012020 its reverse (20210001201), we get a palindrome (122310013221).

The spelling of 102100012020 in words is "one hundred two billion, one hundred million, twelve thousand, twenty".