121143031100 has 288 divisors, whose sum is σ = 341858119680. Its totient is φ = 36226391040.

The previous prime is 121143031081. The next prime is 121143031109. The reversal of 121143031100 is 1130341121.

121143031100 = 312² + 313² + ... + 7136².

It is a super-3 number, since 3×121143031100³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121143031109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12398417 + ... + 12408183.

It is an arithmetic number, because the mean of its divisors is an integer number (1187007360).

Almost surely, 2^121143031100 is an apocalyptic number.

121143031100 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 121143031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170929059840).

121143031100 is an abundant number, since it is smaller than the sum of its proper divisors (220715088580).

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

121143031100 is a wasteful number, since it uses less digits than its factorization.

121143031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9877 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 121143031100 its reverse (1130341121), we get a palindrome (122273372221).

The spelling of 121143031100 in words is "one hundred twenty-one billion, one hundred forty-three million, thirty-one thousand, one hundred".