200101010101002 has 96 divisors (see below), whose sum is σ = 445593002025600. Its totient is φ = 64861740195840.

The previous prime is 200101010100973. The next prime is 200101010101021.

It is a happy number.

200101010101002 is nontrivially palindromic in base 10.

200101010101002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 717456874 + ... + 717735722.

It is an arithmetic number, because the mean of its divisors is an integer number (4641593771100).

Almost surely, 2^{200101010101002} is an apocalyptic number.

200101010101002 is an abundant number, since it is smaller than the sum of its proper divisors (245491991924598).

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

200101010101002 is a wasteful number, since it uses less digits than its factorization.

200101010101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282988 (or 282985 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The spelling of 200101010101002 in words is "two hundred trillion, one hundred one billion, ten million, one hundred one thousand, two".