102121130202000 has 3840 divisors, whose sum is σ = 453849753756672. Its totient is φ = 19497281126400.

The previous prime is 102121130201989. The next prime is 102121130202043. The reversal of 102121130202000 is 202031121201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 257232065802 + ... + 257232066198.

Almost surely, 2^{102121130202000} is an apocalyptic number.

102121130202000 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 102121130202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226924876878336).

102121130202000 is an abundant number, since it is smaller than the sum of its proper divisors (351728623554672).

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

102121130202000 is a wasteful number, since it uses less digits than its factorization.

102121130202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102121130202000 its reverse (202031121201), we get a palindrome (102323161323201).

The spelling of 102121130202000 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred thirty million, two hundred two thousand".