101201001001128 has 192 divisors, whose sum is σ = 327717438572160. Its totient is φ = 28658690113536.

The previous prime is 101201001000989. The next prime is 101201001001129. The reversal of 101201001001128 is 821100100102101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101201001001128.

It is not an unprimeable number, because it can be changed into a prime (101201001001129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31368825 + ... + 34444232.

It is an arithmetic number, because the mean of its divisors is an integer number (1706861659230).

Almost surely, 2^{101201001001128} is an apocalyptic number.

101201001001128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101201001001128 is an abundant number, since it is smaller than the sum of its proper divisors (226516437571032).

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

101201001001128 is a wasteful number, since it uses less digits than its factorization.

101201001001128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65813198 (or 65813182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101201001001128 its reverse (821100100102101), we get a palindrome (922301101103229).

The spelling of 101201001001128 in words is "one hundred one trillion, two hundred one billion, one million, one thousand, one hundred twenty-eight".