10120101202211 has 64 divisors (see below), whose sum is σ = 13649706233856. Its totient is φ = 7246069401600.

The previous prime is 10120101202193. The next prime is 10120101202219. The reversal of 10120101202211 is 11220210102101.

It is a cyclic number.

It is not a de Polignac number, because 10120101202211 - 2⁴² = 5722054691107 is a prime.

It is a super-2 number, since 2×10120101202211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120101202219) 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, 729264605 + ... + 729278481.

It is an arithmetic number, because the mean of its divisors is an integer number (213276659904).

Almost surely, 2^{10120101202211} is an apocalyptic number.

10120101202211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120101202211 is a deficient number, since it is larger than the sum of its proper divisors (3529605031645).

10120101202211 is a wasteful number, since it uses less digits than its factorization.

10120101202211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17172.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120101202211 its reverse (11220210102101), we get a palindrome (21340311304312).

The spelling of 10120101202211 in words is "ten trillion, one hundred twenty billion, one hundred one million, two hundred two thousand, two hundred eleven".