10011101211210 has 256 divisors, whose sum is σ = 27177243918336. Its totient is φ = 2339111040000.

The previous prime is 10011101211179. The next prime is 10011101211289. The reversal of 10011101211210 is 1211210111001.

It is a super-2 number, since 2×10011101211210² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1036233780 + ... + 1036243440.

It is an arithmetic number, because the mean of its divisors is an integer number (106161109056).

Almost surely, 2^{10011101211210} is an apocalyptic number.

10011101211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011101211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588621959168).

10011101211210 is an abundant number, since it is smaller than the sum of its proper divisors (17166142707126).

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

10011101211210 is a wasteful number, since it uses less digits than its factorization.

10011101211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10741.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10011101211210 its reverse (1211210111001), we get a palindrome (11222311322211).

The spelling of 10011101211210 in words is "ten trillion, eleven billion, one hundred one million, two hundred eleven thousand, two hundred ten".