100111061001061 has 8 divisors (see below), whose sum is σ = 111751882048224. Its totient is φ = 88893542537520.

The previous prime is 100111061001053. The next prime is 100111061001137. The reversal of 100111061001061 is 160100160111001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100111061001061 - 2³ = 100111061001053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111061001661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105825645406 + ... + 105825646351.

It is an arithmetic number, because the mean of its divisors is an integer number (13968985256028).

Almost surely, 2^{100111061001061} is an apocalyptic number.

100111061001061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111061001061 is a deficient number, since it is larger than the sum of its proper divisors (11640821047163).

100111061001061 is a wasteful number, since it uses less digits than its factorization.

100111061001061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211651291811.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 100111061001061 in words is "one hundred trillion, one hundred eleven billion, sixty-one million, one thousand, sixty-one".