1201101102101 has 32 divisors (see below), whose sum is σ = 1305878630400. Its totient is φ = 1101238407360.

The previous prime is 1201101102083. The next prime is 1201101102137. The reversal of 1201101102101 is 1012011011021.

It is a cyclic number.

It is not a de Polignac number, because 1201101102101 - 2¹⁸ = 1201100839957 is a prime.

It is a super-2 number, since 2×1201101102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201101102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18404210 + ... + 18469356.

It is an arithmetic number, because the mean of its divisors is an integer number (40808707200).

Almost surely, 2^{1201101102101} is an apocalyptic number.

It is an amenable number.

1201101102101 is a deficient number, since it is larger than the sum of its proper divisors (104777528299).

1201101102101 is a wasteful number, since it uses less digits than its factorization.

1201101102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65489.

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

Adding to 1201101102101 its reverse (1012011011021), we get a palindrome (2213112113122).

The spelling of 1201101102101 in words is "one trillion, two hundred one billion, one hundred one million, one hundred two thousand, one hundred one".