10211101222010 has 48 divisors (see below), whose sum is σ = 20588880383640. Its totient is φ = 3640244025600.

The previous prime is 10211101222001. The next prime is 10211101222043. The reversal of 10211101222010 is 1022210111201.

10211101222010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 408810620689 + 9802290601321 = 639383^2 + 3130861^2 .

It is a super-2 number, since 2×10211101222010² (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 23 ways as a sum of consecutive naturals, for example, 104124641 + ... + 104222660.

Almost surely, 2^{10211101222010} is an apocalyptic number.

10211101222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10211101222010 is an abundant number, since it is smaller than the sum of its proper divisors (10377779161630).

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

10211101222010 is a wasteful number, since it uses less digits than its factorization.

10211101222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208347363 (or 208347350 counting only the distinct ones).

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

Adding to 10211101222010 its reverse (1022210111201), we get a palindrome (11233311333211).

The spelling of 10211101222010 in words is "ten trillion, two hundred eleven billion, one hundred one million, two hundred twenty-two thousand, ten".