101030400000414 has 160 divisors (see below), whose sum is σ = 246547356660000. Its totient is φ = 30800142971136.

The previous prime is 101030400000401. The next prime is 101030400000557. The reversal of 101030400000414 is 414000004030101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 718756612 + ... + 718897160.

It is an arithmetic number, because the mean of its divisors is an integer number (1540920979125).

Almost surely, 2^{101030400000414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030400000414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123273678330000).

101030400000414 is an abundant number, since it is smaller than the sum of its proper divisors (145516956659586).

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

101030400000414 is a wasteful number, since it uses less digits than its factorization.

101030400000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148664 (or 148655 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101030400000414 its reverse (414000004030101), we get a palindrome (515030404030515).

The spelling of 101030400000414 in words is "one hundred one trillion, thirty billion, four hundred million, four hundred fourteen", and thus it is an aban number.