101003102101121 has 6 divisors (see below), whose sum is σ = 111019938673266. Its totient is φ = 91821001910000.

The previous prime is 101003102101081. The next prime is 101003102101129. The reversal of 101003102101121 is 121101201300101.

It can be written as a sum of positive squares in only one way, i.e., 52277397156721 + 48725704944400 = 7230311^2 + 6980380^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101003102101121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101003102101096 and 101003102101105.

It is not an unprimeable number, because it can be changed into a prime (101003102101129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417368190380 + ... + 417368190621.

It is an arithmetic number, because the mean of its divisors is an integer number (18503323112211).

Almost surely, 2^{101003102101121} is an apocalyptic number.

101003102101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101003102101121 is a deficient number, since it is larger than the sum of its proper divisors (10016836572145).

101003102101121 is an equidigital number, since it uses as much as digits as its factorization.

101003102101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834736381023 (or 834736381012 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101003102101121 its reverse (121101201300101), we get a palindrome (222104303401222).

The spelling of 101003102101121 in words is "one hundred one trillion, three billion, one hundred two million, one hundred one thousand, one hundred twenty-one".