101062628046081 has 81 divisors (see below), whose sum is σ = 164160875345571. Its totient is φ = 62185872151728.

The previous prime is 101062628046067. The next prime is 101062628046097. The reversal of 101062628046081 is 180640826260101.

It is a happy number.

The square root of 101062628046081 is 10052991.

It is a perfect power (a square), and thus also a powerful number.

101062628046081 is a `hidden beast` number, since 1 + 0 + 10 + 6 + 2 + 6 + 28 + 0 + 4 + 608 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14950092906225 + 86112535139856 = 3866535^2 + 9279684^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 101062628046081 - 2¹¹ = 101062628044033 is a prime.

It is a super-2 number, since 2×101062628046081² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101062628046011) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10585794750 + ... + 10585804296.

Almost surely, 2^{101062628046081} is an apocalyptic number.

101062628046081 is the 10052991-st square number.

101062628046081 is the 5026496-th centered octagonal number.

It is an amenable number.

101062628046081 is a deficient number, since it is larger than the sum of its proper divisors (63098247299490).

101062628046081 is an frugal number, since it uses more digits than its factorization.

101062628046081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19144 (or 9563 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 101062628046081 in words is "one hundred one trillion, sixty-two billion, six hundred twenty-eight million, forty-six thousand, eighty-one".