1000105101102 has 16 divisors (see below), whose sum is σ = 2004549058512. Its totient is φ = 332645224320.

The previous prime is 1000105101097. The next prime is 1000105101131. The reversal of 1000105101102 is 2011015010001.

It is a super-2 number, since 2×1000105101102² (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 7 ways as a sum of consecutive naturals, for example, 180782683 + ... + 180788214.

It is an arithmetic number, because the mean of its divisors is an integer number (125284316157).

Almost surely, 2^{1000105101102} is an apocalyptic number.

1000105101102 is an abundant number, since it is smaller than the sum of its proper divisors (1004443957410).

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

1000105101102 is a wasteful number, since it uses less digits than its factorization.

1000105101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361571363.

The product of its (nonzero) digits is 10, while the sum is 12.

The spelling of 1000105101102 in words is "one trillion, one hundred five million, one hundred one thousand, one hundred two".