121949100 has 216 divisors, whose sum is σ = 470768480. Its totient is φ = 25712640.

The previous prime is 121949099. The next prime is 121949101. The reversal of 121949100 is 1949121.

It is an interprime number because it is at equal distance from previous prime (121949099) and next prime (121949101).

It is not an unprimeable number, because it can be changed into a prime (121949101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81156 + ... + 82644.

Almost surely, 2^121949100 is an apocalyptic number.

121949100 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 121949100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235384240).

121949100 is an abundant number, since it is smaller than the sum of its proper divisors (348819380).

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

121949100 is a wasteful number, since it uses less digits than its factorization.

121949100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 121949100 is about 11043.0566420715. The cubic root of 121949100 is about 495.8985820652.

The spelling of 121949100 in words is "one hundred twenty-one million, nine hundred forty-nine thousand, one hundred".