100121102101012 has 12 divisors (see below), whose sum is σ = 175835458674036. Its totient is φ = 49882399622720.

The previous prime is 100121102101001. The next prime is 100121102101019. The reversal of 100121102101012 is 210101201121001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23971638535056 + 76149463565956 = 4896084^2 + 8726366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100121102100983 and 100121102101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121102101019) 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, 44537855683 + ... + 44537857930.

It is an arithmetic number, because the mean of its divisors is an integer number (14652954889503).

Almost surely, 2^{100121102101012} is an apocalyptic number.

It is an amenable number.

100121102101012 is a deficient number, since it is larger than the sum of its proper divisors (75714356573024).

100121102101012 is a wasteful number, since it uses less digits than its factorization.

100121102101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89075713898 (or 89075713896 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100121102101012 its reverse (210101201121001), we get a palindrome (310222303222013).

The spelling of 100121102101012 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, one hundred one thousand, twelve".