92010100000 has 288 divisors, whose sum is σ = 278694162432. Its totient is φ = 29116800000.

The previous prime is 92010099931. The next prime is 92010100009. The reversal of 92010100000 is 101029.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92010100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9094945 + ... + 9105055.

It is an arithmetic number, because the mean of its divisors is an integer number (967688064).

Almost surely, 2^92010100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139347081216).

92010100000 is an abundant number, since it is smaller than the sum of its proper divisors (186684062432).

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

92010100000 is a wasteful number, since it uses less digits than its factorization.

92010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 92010100000 its reverse (101029), we get a palindrome (92010201029).

The spelling of 92010100000 in words is "ninety-two billion, ten million, one hundred thousand".