121000102100010 has 192 divisors, whose sum is σ = 369283029403392. Its totient is φ = 26908036558848.

The previous prime is 121000102099991. The next prime is 121000102100029. The reversal of 121000102100010 is 10001201000121.

It is a happy number.

121000102100010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121000102099991) and next prime (121000102100029).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121000102099965 and 121000102100001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404908509 + ... + 405207231.

It is an arithmetic number, because the mean of its divisors is an integer number (1923349111476).

Almost surely, 2^{121000102100010} is an apocalyptic number.

121000102100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121000102100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184641514701696).

121000102100010 is an abundant number, since it is smaller than the sum of its proper divisors (248282927303382).

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

121000102100010 is a wasteful number, since it uses less digits than its factorization.

121000102100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316157 (or 316154 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121000102100010 its reverse (10001201000121), we get a palindrome (131001303100131).

The spelling of 121000102100010 in words is "one hundred twenty-one trillion, one hundred two million, one hundred thousand, ten".