101011010201001 has 16 divisors (see below), whose sum is σ = 149656372081600. Its totient is φ = 67335979497984.

The previous prime is 101011010200951. The next prime is 101011010201021. The reversal of 101011010201001 is 100102010110101.

It is not a de Polignac number, because 101011010201001 - 2⁶ = 101011010200937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011010201021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129993496 + ... + 130768233.

It is an arithmetic number, because the mean of its divisors is an integer number (9353523255100).

Almost surely, 2^{101011010201001} is an apocalyptic number.

It is an amenable number.

101011010201001 is a deficient number, since it is larger than the sum of its proper divisors (48645361880599).

101011010201001 is a wasteful number, since it uses less digits than its factorization.

101011010201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260776085 (or 260776079 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011010201001 its reverse (100102010110101), we get a palindrome (201113020311102).

The spelling of 101011010201001 in words is "one hundred one trillion, eleven billion, ten million, two hundred one thousand, one".