101211202000101 has 8 divisors (see below), whose sum is σ = 142886402823744. Its totient is φ = 63505067921600.

The previous prime is 101211202000061. The next prime is 101211202000157. The reversal of 101211202000101 is 101000202112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101211202000101 - 2²² = 101211197805797 is a prime.

It is a super-3 number, since 3×101211202000101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211202000301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992266686225 + ... + 992266686326.

It is an arithmetic number, because the mean of its divisors is an integer number (17860800352968).

Almost surely, 2^{101211202000101} is an apocalyptic number.

It is an amenable number.

101211202000101 is a deficient number, since it is larger than the sum of its proper divisors (41675200823643).

101211202000101 is a wasteful number, since it uses less digits than its factorization.

101211202000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984533372571.

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

Adding to 101211202000101 its reverse (101000202112101), we get a palindrome (202211404112202).

The spelling of 101211202000101 in words is "one hundred one trillion, two hundred eleven billion, two hundred two million, one hundred one", and thus it is an aban number.