10102020100092 has 240 divisors, whose sum is σ = 28919576835072. Its totient is φ = 3061135618560.

The previous prime is 10102020100019. The next prime is 10102020100121. The reversal of 10102020100092 is 29000102020101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89244643 + ... + 89357765.

Almost surely, 2^{10102020100092} is an apocalyptic number.

10102020100092 is a gapful number since it is divisible by the number (12) 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 10102020100092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459788417536).

10102020100092 is an abundant number, since it is smaller than the sum of its proper divisors (18817556734980).

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

10102020100092 is a wasteful number, since it uses less digits than its factorization.

10102020100092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113710 (or 113699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10102020100092 its reverse (29000102020101), we get a palindrome (39102122120193).

The spelling of 10102020100092 in words is "ten trillion, one hundred two billion, twenty million, one hundred thousand, ninety-two".