1022101220101 has 16 divisors (see below), whose sum is σ = 1101791199600. Its totient is φ = 942564072960.

The previous prime is 1022101220099. The next prime is 1022101220113. The reversal of 1022101220101 is 1010221012201.

It can be written as a sum of positive squares in 8 ways, for example, as 3517676100 + 1018583544001 = 59310^2 + 1009249^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022101220101 - 2¹ = 1022101220099 is a prime.

It is a super-3 number, since 3×1022101220101³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022101221101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83220081 + ... + 83232361.

It is an arithmetic number, because the mean of its divisors is an integer number (68861949975).

Almost surely, 2^{1022101220101} is an apocalyptic number.

It is an amenable number.

1022101220101 is a deficient number, since it is larger than the sum of its proper divisors (79689979499).

1022101220101 is a wasteful number, since it uses less digits than its factorization.

1022101220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17976.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022101220101 its reverse (1010221012201), we get a palindrome (2032322232302).

The spelling of 1022101220101 in words is "one trillion, twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred one".