101011010102001 has 12 divisors (see below), whose sum is σ = 145907733872628. Its totient is φ = 67339315784544.

The previous prime is 101011010101957. The next prime is 101011010102021. The reversal of 101011010102001 is 100201010110101.

It can be written as a sum of positive squares in 2 ways, for example, as 36835674177600 + 64175335924401 = 6069240^2 + 8010951^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101011010102001 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 (101011010102021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112663410 + ... + 113556443.

It is an arithmetic number, because the mean of its divisors is an integer number (12158977822719).

Almost surely, 2^{101011010102001} is an apocalyptic number.

It is an amenable number.

101011010102001 is a deficient number, since it is larger than the sum of its proper divisors (44896723770627).

101011010102001 is a wasteful number, since it uses less digits than its factorization.

101011010102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226269472 (or 226269469 counting only the distinct ones).

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

Adding to 101011010102001 its reverse (100201010110101), we get a palindrome (201212020212102).

The spelling of 101011010102001 in words is "one hundred one trillion, eleven billion, ten million, one hundred two thousand, one".