101020001102121 has 16 divisors (see below), whose sum is σ = 135502217121600. Its totient is φ = 66943386763968.

The previous prime is 101020001102117. The next prime is 101020001102161. The reversal of 101020001102121 is 121201100020101.

It is not a de Polignac number, because 101020001102121 - 2² = 101020001102117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020001102097 and 101020001102106.

It is not an unprimeable number, because it can be changed into a prime (101020001102161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144716706 + ... + 145413083.

It is an arithmetic number, because the mean of its divisors is an integer number (8468888570100).

Almost surely, 2^{101020001102121} is an apocalyptic number.

It is an amenable number.

101020001102121 is a deficient number, since it is larger than the sum of its proper divisors (34482216019479).

101020001102121 is a wasteful number, since it uses less digits than its factorization.

101020001102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290130488.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101020001102121 its reverse (121201100020101), we get a palindrome (222221101122222).

The spelling of 101020001102121 in words is "one hundred one trillion, twenty billion, one million, one hundred two thousand, one hundred twenty-one".