1020102210000 has 1200 divisors, whose sum is σ = 4030120448640. Its totient is φ = 239500800000.

The previous prime is 1020102209983. The next prime is 1020102210077. The reversal of 1020102210000 is 122010201.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1455209650 + ... + 1455210350.

Almost surely, 2^{1020102210000} is an apocalyptic number.

1020102210000 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 1020102210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015060224320).

1020102210000 is an abundant number, since it is smaller than the sum of its proper divisors (3010018238640).

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

1020102210000 is a wasteful number, since it uses less digits than its factorization.

1020102210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020102210000 its reverse (122010201), we get a palindrome (1020224220201).

The spelling of 1020102210000 in words is "one trillion, twenty billion, one hundred two million, two hundred ten thousand".