10102121202000 has 320 divisors, whose sum is σ = 32928660430848. Its totient is φ = 2664230400000.

The previous prime is 10102121201983. The next prime is 10102121202007. The reversal of 10102121202000 is 20212120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102121202007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 567813105 + ... + 567830895.

Almost surely, 2^{10102121202000} is an apocalyptic number.

10102121202000 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 10102121202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464330215424).

10102121202000 is an abundant number, since it is smaller than the sum of its proper divisors (22826539228848).

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

10102121202000 is a wasteful number, since it uses less digits than its factorization.

10102121202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18855 (or 18839 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102121202000 its reverse (20212120101), we get a palindrome (10122333322101).

The spelling of 10102121202000 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, two hundred two thousand".