101131211121001 has 4 divisors (see below), whose sum is σ = 101227434919504. Its totient is φ = 101034987322500.

The previous prime is 101131211120981. The next prime is 101131211121029. The reversal of 101131211121001 is 100121112131101.

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 101131211121001 - 2¹¹ = 101131211118953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101131211101001) 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, 48111897675 + ... + 48111899776.

It is an arithmetic number, because the mean of its divisors is an integer number (25306858729876).

Almost surely, 2^{101131211121001} is an apocalyptic number.

It is an amenable number.

101131211121001 is a deficient number, since it is larger than the sum of its proper divisors (96223798503).

101131211121001 is an equidigital number, since it uses as much as digits as its factorization.

101131211121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96223798502.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 101131211121001 its reverse (100121112131101), we get a palindrome (201252323252102).

The spelling of 101131211121001 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred eleven million, one hundred twenty-one thousand, one".