101153060820 has 864 divisors, whose sum is σ = 389418382080. Its totient is φ = 21946982400.

The previous prime is 101153060819. The next prime is 101153060831. The reversal of 101153060820 is 28060351101.

101153060820 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 30 + 608 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 669887745 + ... + 669887895.

It is an arithmetic number, because the mean of its divisors is an integer number (450715720).

Almost surely, 2^101153060820 is an apocalyptic number.

101153060820 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 101153060820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194709191040).

101153060820 is an abundant number, since it is smaller than the sum of its proper divisors (288265321260).

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

101153060820 is a wasteful number, since it uses less digits than its factorization.

101153060820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 101153060820 in words is "one hundred one billion, one hundred fifty-three million, sixty thousand, eight hundred twenty".