101002001200101 has 40 divisors (see below), whose sum is σ = 156867094137600. Its totient is φ = 64693785646080.

The previous prime is 101002001200099. The next prime is 101002001200123. The reversal of 101002001200101 is 101002100200101.

It is a happy number.

It is not a de Polignac number, because 101002001200101 - 2¹ = 101002001200099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002001200501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144340956 + ... + 145039013.

It is an arithmetic number, because the mean of its divisors is an integer number (3921677353440).

Almost surely, 2^{101002001200101} is an apocalyptic number.

It is an amenable number.

101002001200101 is a deficient number, since it is larger than the sum of its proper divisors (55865092937499).

101002001200101 is a wasteful number, since it uses less digits than its factorization.

101002001200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289380151 (or 289380142 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101002001200101 its reverse (101002100200101), we get a palindrome (202004101400202).

The spelling of 101002001200101 in words is "one hundred one trillion, two billion, one million, two hundred thousand, one hundred one".