102121011002010 has 384 divisors, whose sum is σ = 331032339855360. Its totient is φ = 19578660940800.

The previous prime is 102121011002009. The next prime is 102121011002027. The reversal of 102121011002010 is 10200110121201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 866997301 + ... + 867115079.

It is an arithmetic number, because the mean of its divisors is an integer number (862063385040).

Almost surely, 2^{102121011002010} is an apocalyptic number.

102121011002010 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 102121011002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165516169927680).

102121011002010 is an abundant number, since it is smaller than the sum of its proper divisors (228911328853350).

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

102121011002010 is a wasteful number, since it uses less digits than its factorization.

102121011002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120054 (or 120041 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102121011002010 its reverse (10200110121201), we get a palindrome (112321121123211).

The spelling of 102121011002010 in words is "one hundred two trillion, one hundred twenty-one billion, eleven million, two thousand, ten".