101201086288770 has 128 divisors (see below), whose sum is σ = 276980849623296. Its totient is φ = 23443248807936.

The previous prime is 101201086288759. The next prime is 101201086288823. The reversal of 101201086288770 is 77882680102101.

101201086288770 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101201086288770² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63504057 + ... + 65078163.

It is an arithmetic number, because the mean of its divisors is an integer number (2163912887682).

Almost surely, 2^{101201086288770} is an apocalyptic number.

101201086288770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101201086288770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138490424811648).

101201086288770 is an abundant number, since it is smaller than the sum of its proper divisors (175779763334526).

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

101201086288770 is a wasteful number, since it uses less digits than its factorization.

101201086288770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583844.

The product of its (nonzero) digits is 602112, while the sum is 51.

The spelling of 101201086288770 in words is "one hundred one trillion, two hundred one billion, eighty-six million, two hundred eighty-eight thousand, seven hundred seventy".