101006110101054 has 8 divisors (see below), whose sum is σ = 202012220202120. Its totient is φ = 33668703367016.

The previous prime is 101006110101019. The next prime is 101006110101101. The reversal of 101006110101054 is 450101011600101.

It is a sphenic number, since it is the product of 3 distinct primes.

101006110101054 is an admirable number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101006110101054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8417175841749 + ... + 8417175841760.

It is an arithmetic number, because the mean of its divisors is an integer number (25251527525265).

Almost surely, 2^{101006110101054} is an apocalyptic number.

101006110101054 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101006110101054 is a wasteful number, since it uses less digits than its factorization.

101006110101054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16834351683514.

The product of its (nonzero) digits is 120, while the sum is 21.

Adding to 101006110101054 its reverse (450101011600101), we get a palindrome (551107121701155).

The spelling of 101006110101054 in words is "one hundred one trillion, six billion, one hundred ten million, one hundred one thousand, fifty-four".