121213010100 has 1152 divisors, whose sum is σ = 472858624000. Its totient is φ = 23775897600.

The previous prime is 121213010099. The next prime is 121213010153. The reversal of 121213010100 is 1010312121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1534341861 + ... + 1534341939.

Almost surely, 2^121213010100 is an apocalyptic number.

121213010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121213010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236429312000).

121213010100 is an abundant number, since it is smaller than the sum of its proper divisors (351645613900).

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

121213010100 is a wasteful number, since it uses less digits than its factorization.

121213010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

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

Adding to 121213010100 its reverse (1010312121), we get a palindrome (122223322221).

The spelling of 121213010100 in words is "one hundred twenty-one billion, two hundred thirteen million, ten thousand, one hundred".