101100012012010 has 64 divisors (see below), whose sum is σ = 209397881203200. Its totient is φ = 34757777678400.

The previous prime is 101100012012001. The next prime is 101100012012019. The reversal of 101100012012010 is 10210210001101.

It is an interprime number because it is at equal distance from previous prime (101100012012001) and next prime (101100012012019).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101100012012019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48233700 + ... + 50286079.

It is an arithmetic number, because the mean of its divisors is an integer number (3271841893800).

Almost surely, 2^{101100012012010} is an apocalyptic number.

101100012012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100012012010 is an abundant number, since it is smaller than the sum of its proper divisors (108297869191190).

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

101100012012010 is a wasteful number, since it uses less digits than its factorization.

101100012012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98520307.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101100012012010 its reverse (10210210001101), we get a palindrome (111310222013111).

The spelling of 101100012012010 in words is "one hundred one trillion, one hundred billion, twelve million, twelve thousand, ten".