101120100100121 has 8 divisors (see below), whose sum is σ = 103587122762088. Its totient is φ = 98653109760000.

The previous prime is 101120100100093. The next prime is 101120100100139. The reversal of 101120100100121 is 121001001021101.

It can be written as a sum of positive squares in 4 ways, for example, as 1255834009600 + 99864266090521 = 1120640^2 + 9993211^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101120100100121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101120100102121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1686080 + ... + 14320721.

It is an arithmetic number, because the mean of its divisors is an integer number (12948390345261).

Almost surely, 2^{101120100100121} is an apocalyptic number.

It is an amenable number.

101120100100121 is a deficient number, since it is larger than the sum of its proper divisors (2467022661967).

101120100100121 is a wasteful number, since it uses less digits than its factorization.

101120100100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16160923.

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

Adding to 101120100100121 its reverse (121001001021101), we get a palindrome (222121101121222).

The spelling of 101120100100121 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, one hundred thousand, one hundred twenty-one".