100102212100121 has 8 divisors (see below), whose sum is σ = 124802757943104. Its totient is φ = 78001723714320.

The previous prime is 100102212100091. The next prime is 100102212100127. The reversal of 100102212100121 is 121001212201001.

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

It is not a de Polignac number, because 100102212100121 - 2⁶ = 100102212100057 is a prime.

It is a super-2 number, since 2×100102212100121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102212100096 and 100102212100105.

It is not an unprimeable number, because it can be changed into a prime (100102212100127) 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, 650014364210 + ... + 650014364363.

It is an arithmetic number, because the mean of its divisors is an integer number (15600344742888).

Almost surely, 2^{100102212100121} is an apocalyptic number.

100102212100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102212100121 is a deficient number, since it is larger than the sum of its proper divisors (24700545842983).

100102212100121 is a wasteful number, since it uses less digits than its factorization.

100102212100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300028728591.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100102212100121 its reverse (121001212201001), we get a palindrome (221103424301122).

The spelling of 100102212100121 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, one hundred thousand, one hundred twenty-one".