121012100000 has 432 divisors, whose sum is σ = 334222155288. Its totient is φ = 43084800000.

The previous prime is 121012099993. The next prime is 121012100017. The reversal of 121012100000 is 1210121.

It can be written as a sum of positive squares in 12 ways, for example, as 46616264464 + 74395835536 = 215908^2 + 272756^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 883299932 + ... + 883300068.

Almost surely, 2^121012100000 is an apocalyptic number.

121012100000 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 121012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167111077644).

121012100000 is an abundant number, since it is smaller than the sum of its proper divisors (213210055288).

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

121012100000 is an equidigital number, since it uses as much as digits as its factorization.

121012100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 121012100000 its reverse (1210121), we get a palindrome (121013310121).

121012100000 divided by its reverse (1210121) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 1210 and 12100000, that multiplied together give a square (14641000000 = 121000²).

The spelling of 121012100000 in words is "one hundred twenty-one billion, twelve million, one hundred thousand".