101111022102101 has 4 divisors (see below), whose sum is σ = 110302933202304. Its totient is φ = 91919111001900.

The previous prime is 101111022101963. The next prime is 101111022102133. The reversal of 101111022102101 is 101201220111101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101111022102101 - 2¹⁸ = 101111021839957 is a prime.

It is a super-2 number, since 2×101111022102101² (a number of 29 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 (101111022101101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4595955550085 + ... + 4595955550106.

It is an arithmetic number, because the mean of its divisors is an integer number (27575733300576).

Almost surely, 2^{101111022102101} is an apocalyptic number.

101111022102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111022102101 is a deficient number, since it is larger than the sum of its proper divisors (9191911100203).

101111022102101 is an equidigital number, since it uses as much as digits as its factorization.

101111022102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191911100202.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101111022102101 its reverse (101201220111101), we get a palindrome (202312242213202).

The spelling of 101111022102101 in words is "one hundred one trillion, one hundred eleven billion, twenty-two million, one hundred two thousand, one hundred one".