101040090820 has 12 divisors (see below), whose sum is σ = 212184190764. Its totient is φ = 40416036320.

The previous prime is 101040090797. The next prime is 101040090857. The reversal of 101040090820 is 28090040101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68702700544 + 32337390276 = 262112^2 + 179826^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2526002251 + ... + 2526002290.

It is an arithmetic number, because the mean of its divisors is an integer number (17682015897).

Almost surely, 2^101040090820 is an apocalyptic number.

101040090820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101040090820 is an abundant number, since it is smaller than the sum of its proper divisors (111144099944).

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

101040090820 is a wasteful number, since it uses less digits than its factorization.

101040090820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052004550 (or 5052004548 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 101040090820 in words is "one hundred one billion, forty million, ninety thousand, eight hundred twenty".