121211020220100 has 72 divisors (see below), whose sum is σ = 351078169746528. Its totient is φ = 32288442451200.

The previous prime is 121211020220063. The next prime is 121211020220107. The reversal of 121211020220100 is 1022020112121.

It is a super-2 number, since 2×121211020220100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121211020220100.

It is not an unprimeable number, because it can be changed into a prime (121211020220107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215320146 + ... + 215882345.

It is an arithmetic number, because the mean of its divisors is an integer number (4876085690924).

Almost surely, 2^{121211020220100} is an apocalyptic number.

121211020220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211020220100 is an abundant number, since it is smaller than the sum of its proper divisors (229867149526428).

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

121211020220100 is a wasteful number, since it uses less digits than its factorization.

121211020220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431203445 (or 431203438 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121211020220100 its reverse (1022020112121), we get a palindrome (122233040332221).

The spelling of 121211020220100 in words is "one hundred twenty-one trillion, two hundred eleven billion, twenty million, two hundred twenty thousand, one hundred".