101102211212202 has 48 divisors (see below), whose sum is σ = 228597716662848. Its totient is φ = 32232835736640.

The previous prime is 101102211212201. The next prime is 101102211212207. The reversal of 101102211212202 is 202212112201101.

101102211212202 is a `hidden beast` number, since 10 + 110 + 221 + 121 + 2 + 202 = 666.

It is a super-2 number, since 2×101102211212202² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101102211212201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5003499 + ... + 15074462.

It is an arithmetic number, because the mean of its divisors is an integer number (4762452430476).

Almost surely, 2^{101102211212202} is an apocalyptic number.

101102211212202 is an abundant number, since it is smaller than the sum of its proper divisors (127495505450646).

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

101102211212202 is a wasteful number, since it uses less digits than its factorization.

101102211212202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20090155 (or 20090152 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101102211212202 its reverse (202212112201101), we get a palindrome (303314323413303).

The spelling of 101102211212202 in words is "one hundred one trillion, one hundred two billion, two hundred eleven million, two hundred twelve thousand, two hundred two".