121211020000100 has 18 divisors (see below), whose sum is σ = 263027913400434. Its totient is φ = 48484408000000.

The previous prime is 121211020000079. The next prime is 121211020000117. The reversal of 121211020000100 is 1000020112121.

It can be written as a sum of positive squares in 3 ways, for example, as 2738766826084 + 118472253174016 = 1654922^2 + 10884496^2 .

It is a super-2 number, since 2×121211020000100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 606055099901 + ... + 606055100100.

Almost surely, 2^{121211020000100} is an apocalyptic number.

121211020000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211020000100 is an abundant number, since it is smaller than the sum of its proper divisors (141816893400334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121211020000100 is a wasteful number, since it uses less digits than its factorization.

121211020000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212110200015 (or 1212110200008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121211020000100 its reverse (1000020112121), we get a palindrome (122211040112221).

The spelling of 121211020000100 in words is "one hundred twenty-one trillion, two hundred eleven billion, twenty million, one hundred", and thus it is an aban number.