10011022101210 has 256 divisors, whose sum is σ = 26605406209536. Its totient is φ = 2395241791488.

The previous prime is 10011022101191. The next prime is 10011022101217. The reversal of 10011022101210 is 1210122011001.

It is not an unprimeable number, because it can be changed into a prime (10011022101217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4183459774 + ... + 4183462166.

It is an arithmetic number, because the mean of its divisors is an integer number (103927368006).

Almost surely, 2^{10011022101210} is an apocalyptic number.

10011022101210 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 10011022101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13302703104768).

10011022101210 is an abundant number, since it is smaller than the sum of its proper divisors (16594384108326).

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

10011022101210 is a wasteful number, since it uses less digits than its factorization.

10011022101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569.

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

Adding to 10011022101210 its reverse (1210122011001), we get a palindrome (11221144112211).

The spelling of 10011022101210 in words is "ten trillion, eleven billion, twenty-two million, one hundred one thousand, two hundred ten".