10121001022011 has 32 divisors (see below), whose sum is σ = 14874615818496. Its totient is φ = 6070183920000.

The previous prime is 10121001022009. The next prime is 10121001022037. The reversal of 10121001022011 is 11022010012101.

It is not a de Polignac number, because 10121001022011 - 2¹ = 10121001022009 is a prime.

It is a super-3 number, since 3×10121001022011³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10121001022411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5947665 + ... + 7457661.

It is an arithmetic number, because the mean of its divisors is an integer number (464831744328).

Almost surely, 2^{10121001022011} is an apocalyptic number.

10121001022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121001022011 is a deficient number, since it is larger than the sum of its proper divisors (4753614796485).

10121001022011 is a wasteful number, since it uses less digits than its factorization.

10121001022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512123.

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

Adding to 10121001022011 its reverse (11022010012101), we get a palindrome (21143011034112).

The spelling of 10121001022011 in words is "ten trillion, one hundred twenty-one billion, one million, twenty-two thousand, eleven".