101201101102101 has 48 divisors (see below), whose sum is σ = 182543711138432. Its totient is φ = 48528000512640.

The previous prime is 101201101102061. The next prime is 101201101102159.

101201101102101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101201101102101 - 2⁷ = 101201101101973 is a prime.

It is a super-2 number, since 2×101201101102101² (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 (101201101182101) 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, 1531785166 + ... + 1531851231.

Almost surely, 2^{101201101102101} is an apocalyptic number.

101201101102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201101102101 is a deficient number, since it is larger than the sum of its proper divisors (81342610036331).

101201101102101 is a wasteful number, since it uses less digits than its factorization.

101201101102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063636442 (or 3063636431 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 10120110 and 1102101, that added together give a palindrome (11222211).

The spelling of 101201101102101 in words is "one hundred one trillion, two hundred one billion, one hundred one million, one hundred two thousand, one hundred one".