101020101110001 has 48 divisors (see below), whose sum is σ = 150444652849920. Its totient is φ = 65271680288640.

The previous prime is 101020101109951. The next prime is 101020101110009. The reversal of 101020101110001 is 100011101020101.

It is not a de Polignac number, because 101020101110001 - 2⁴⁵ = 65835729021169 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101020101110009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148029116 + ... + 1148117106.

It is an arithmetic number, because the mean of its divisors is an integer number (3134263601040).

Almost surely, 2^{101020101110001} is an apocalyptic number.

It is an amenable number.

101020101110001 is a deficient number, since it is larger than the sum of its proper divisors (49424551739919).

101020101110001 is a wasteful number, since it uses less digits than its factorization.

101020101110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101406 (or 101403 counting only the distinct ones).

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

Adding to 101020101110001 its reverse (100011101020101), we get a palindrome (201031202130102).

The spelling of 101020101110001 in words is "one hundred one trillion, twenty billion, one hundred one million, one hundred ten thousand, one".