4891011100101 has 32 divisors (see below), whose sum is σ = 8483054496000. Its totient is φ = 2726696079360.

The previous prime is 4891011100069. The next prime is 4891011100103. The reversal of 4891011100101 is 1010011101984.

It is a happy number.

It is not a de Polignac number, because 4891011100101 - 2⁵ = 4891011100069 is a prime.

It is a super-2 number, since 2×4891011100101² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4891011100103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315582076 + ... + 315597573.

It is an arithmetic number, because the mean of its divisors is an integer number (265095453000).

Almost surely, 2^{4891011100101} is an apocalyptic number.

4891011100101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4891011100101 is a deficient number, since it is larger than the sum of its proper divisors (3592043395899).

4891011100101 is a wasteful number, since it uses less digits than its factorization.

4891011100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631179706 (or 631179700 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 4891011100101 in words is "four trillion, eight hundred ninety-one billion, eleven million, one hundred thousand, one hundred one".