1002112101102 has 64 divisors (see below), whose sum is σ = 2342917914624. Its totient is φ = 279789711840.

The previous prime is 1002112101037. The next prime is 1002112101113. The reversal of 1002112101102 is 2011012112001.

1002112101102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002112101102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874527 + ... + 1664037.

It is an arithmetic number, because the mean of its divisors is an integer number (36608092416).

Almost surely, 2^{1002112101102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002112101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171458957312).

1002112101102 is an abundant number, since it is smaller than the sum of its proper divisors (1340805813522).

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

1002112101102 is a wasteful number, since it uses less digits than its factorization.

1002112101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790213.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002112101102 its reverse (2011012112001), we get a palindrome (3013124213103).

The spelling of 1002112101102 in words is "one trillion, two billion, one hundred twelve million, one hundred one thousand, one hundred two".