10011022012101 has 64 divisors (see below), whose sum is σ = 15013110528000. Its totient is φ = 5882797808640.

The previous prime is 10011022012003. The next prime is 10011022012177. The reversal of 10011022012101 is 10121022011001.

It is not a de Polignac number, because 10011022012101 - 2²² = 10011017817797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011022011101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33846150 + ... + 34140648.

It is an arithmetic number, because the mean of its divisors is an integer number (234579852000).

Almost surely, 2^{10011022012101} is an apocalyptic number.

10011022012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011022012101 is a deficient number, since it is larger than the sum of its proper divisors (5002088515899).

10011022012101 is a wasteful number, since it uses less digits than its factorization.

10011022012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294826.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011022012101 its reverse (10121022011001), we get a palindrome (20132044023102).

The spelling of 10011022012101 in words is "ten trillion, eleven billion, twenty-two million, twelve thousand, one hundred one".