101012020891153 has 2 divisors, whose sum is σ = 101012020891154. Its totient is φ = 101012020891152.

The previous prime is 101012020891139. The next prime is 101012020891189. The reversal of 101012020891153 is 351198020210101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63401852150784 + 37610168740369 = 7962528^2 + 6132713^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012020891153 - 2¹⁷ = 101012020760081 is a prime.

It is a super-2 number, since 2×101012020891153² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101012020831153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506010445576 + 50506010445577.

It is an arithmetic number, because the mean of its divisors is an integer number (50506010445577).

Almost surely, 2^{101012020891153} is an apocalyptic number.

It is an amenable number.

101012020891153 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012020891153 is an equidigital number, since it uses as much as digits as its factorization.

101012020891153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 34.

The spelling of 101012020891153 in words is "one hundred one trillion, twelve billion, twenty million, eight hundred ninety-one thousand, one hundred fifty-three".