10101100000002 has 64 divisors (see below), whose sum is σ = 22295665082880. Its totient is φ = 3025287267200.

The previous prime is 10101099999983. The next prime is 10101100000007. The reversal of 10101100000002 is 20000000110101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (10101100000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13805593 + ... + 14518835.

It is an arithmetic number, because the mean of its divisors is an integer number (348369766920).

Almost surely, 2^{10101100000002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101100000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147832541440).

10101100000002 is an abundant number, since it is smaller than the sum of its proper divisors (12194565082878).

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

10101100000002 is a wasteful number, since it uses less digits than its factorization.

10101100000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715759.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10101100000002 its reverse (20000000110101), we get a palindrome (30101100110103).

The spelling of 10101100000002 in words is "ten trillion, one hundred one billion, one hundred million, two", and thus it is an aban number.