101210020002 has 288 divisors, whose sum is σ = 293423195520. Its totient is φ = 24600775680.

The previous prime is 101210019991. The next prime is 101210020049. The reversal of 101210020002 is 200020012101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14966302 + ... + 14973062.

It is an arithmetic number, because the mean of its divisors is an integer number (1018830540).

Almost surely, 2^101210020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146711597760).

101210020002 is an abundant number, since it is smaller than the sum of its proper divisors (192213175518).

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

101210020002 is a wasteful number, since it uses less digits than its factorization.

101210020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 6842 counting only the distinct ones).

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

Adding to 101210020002 its reverse (200020012101), we get a palindrome (301230032103).

The spelling of 101210020002 in words is "one hundred one billion, two hundred ten million, twenty thousand, two".