101102003400414 has 16 divisors (see below), whose sum is σ = 212846322948480. Its totient is φ = 31926948442200.

The previous prime is 101102003400397. The next prime is 101102003400449. The reversal of 101102003400414 is 414004300201101.

101102003400414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101102003400414³ (a number of 43 digits) contains 333 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, 443429839362 + ... + 443429839589.

It is an arithmetic number, because the mean of its divisors is an integer number (13302895184280).

Almost surely, 2^{101102003400414} is an apocalyptic number.

101102003400414 is an abundant number, since it is smaller than the sum of its proper divisors (111744319548066).

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

101102003400414 is a wasteful number, since it uses less digits than its factorization.

101102003400414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886859678975.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101102003400414 its reverse (414004300201101), we get a palindrome (515106303601515).

The spelling of 101102003400414 in words is "one hundred one trillion, one hundred two billion, three million, four hundred thousand, four hundred fourteen".