101128847820 has 384 divisors, whose sum is σ = 381411459072. Its totient is φ = 19334937600.

The previous prime is 101128847791. The next prime is 101128847837. The reversal of 101128847820 is 28748821101.

It is a super-2 number, since 2×101128847820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19877317 + ... + 19882403.

It is an arithmetic number, because the mean of its divisors is an integer number (993259008).

Almost surely, 2^101128847820 is an apocalyptic number.

101128847820 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 101128847820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190705729536).

101128847820 is an abundant number, since it is smaller than the sum of its proper divisors (280282611252).

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

101128847820 is a wasteful number, since it uses less digits than its factorization.

101128847820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The spelling of 101128847820 in words is "one hundred one billion, one hundred twenty-eight million, eight hundred forty-seven thousand, eight hundred twenty".