101011120200101 has 64 divisors (see below), whose sum is σ = 110417565739008. Its totient is φ = 92156856599808.

The previous prime is 101011120199933. The next prime is 101011120200113. The reversal of 101011120200101 is 101002021110101.

It is a cyclic number.

It is not a de Polignac number, because 101011120200101 - 2³⁴ = 100993940330917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011120200121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4287933215 + ... + 4287956771.

It is an arithmetic number, because the mean of its divisors is an integer number (1725274464672).

Almost surely, 2^{101011120200101} is an apocalyptic number.

It is an amenable number.

101011120200101 is a deficient number, since it is larger than the sum of its proper divisors (9406445538907).

101011120200101 is a wasteful number, since it uses less digits than its factorization.

101011120200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24250.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011120200101 its reverse (101002021110101), we get a palindrome (202013141310202).

The spelling of 101011120200101 in words is "one hundred one trillion, eleven billion, one hundred twenty million, two hundred thousand, one hundred one".