1000010100102 has 64 divisors (see below), whose sum is σ = 2181684637440. Its totient is φ = 303741938304.

The previous prime is 1000010100101. The next prime is 1000010100169. The reversal of 1000010100102 is 2010010100001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010100101) 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, 2150224 + ... + 2573612.

It is an arithmetic number, because the mean of its divisors is an integer number (34088822460).

Almost surely, 2^{1000010100102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000010100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090842318720).

1000010100102 is an abundant number, since it is smaller than the sum of its proper divisors (1181674537338).

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

1000010100102 is a wasteful number, since it uses less digits than its factorization.

1000010100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423797.

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

Adding to 1000010100102 its reverse (2010010100001), we get a palindrome (3010020200103).

The spelling of 1000010100102 in words is "one trillion, ten million, one hundred thousand, one hundred two".