101101403201301 has 48 divisors (see below), whose sum is σ = 159429658752000. Its totient is φ = 63847573414128.

The previous prime is 101101403201269. The next prime is 101101403201327. The reversal of 101101403201301 is 103102304101101.

It is a happy number.

101101403201301 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 1 + 40 + 320 + 1 + 301 = 666.

It is not a de Polignac number, because 101101403201301 - 2⁵ = 101101403201269 is a prime.

It is a super-2 number, since 2×101101403201301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101403201101) 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, 48845110 + ... + 50872856.

It is an arithmetic number, because the mean of its divisors is an integer number (3321451224000).

Almost surely, 2^{101101403201301} is an apocalyptic number.

It is an amenable number.

101101403201301 is a deficient number, since it is larger than the sum of its proper divisors (58328255550699).

101101403201301 is a wasteful number, since it uses less digits than its factorization.

101101403201301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038580 (or 2038568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101101403201301 its reverse (103102304101101), we get a palindrome (204203707302402).

The spelling of 101101403201301 in words is "one hundred one trillion, one hundred one billion, four hundred three million, two hundred one thousand, three hundred one".